1. Henri Poincaré, His Conjecture, Copacabana and Higher Dimensions
   Graham P. Collins
   Scientific American, June 09, 2004
2. Piecewise deterministic quantum dynamics and quantum fractals on the Poincaré disk.
   Jadczyk, A.
   Rep. Math. Phys. 54 (2004), no. 1, 81--92, MathSciNet.  
3. Convergence of harmonic maps on the Poincaré disk.
   Yao, Guowu
   Proc. Amer. Math. Soc. 132 (2004), no. 8, 2483--2493 (electronic), MathSciNet.  
4. Two-point correlation functions of scaling fields in the Dirac theory on the Poincare disk
   Doyon B.
   Nuclear Physics B, 29 December 2003, vol. 675, no. 3, pp. 607-630(24), Ingenta.  
5. Reconnection in a global model of Poincare map describing dynamics of magnetic field lines in a reversed shear tokamak
   Petrisor E.; Misguich J.H.; Constantinescu D.
   Chaos, Solitons and Fractals, December 2003, vol. 18, no. 5, pp. 1085-1099(15), Ingenta.  
6. Extended-geostrophic Euler-Poincaré models for mesoscale oceanographic flow.
   Allen, J. S.; Holm, Darryl D.; Newberger, P. A.
   Large-scale atmosphere-ocean dynamics, Vol. I, 101--125, Cambridge Univ. Press, Cambridge, 2002, MathSciNet.  
7. Poincaré ball embeddings of the optical geometry
   Abramowicz M.A.; Bengtsson I.; Karas V.; Rosquist K.
   Classical and Quantum Gravity, 2002, vol. 19, no. 15, pp. 3963-3976(14) , Ingenta.  
8. Weyl pseudo-differential operator and Wigner transform on the Poincaré disk.
   Tate, Tatsuya
   Ann. Global Anal. Geom. 22 (2002), no. 1, 29--48, MathSciNet.  
9. Euler-Poincare characteristic and phase transition in the Potts model on Z2
   Blanchard P.; Fortunato S.; Gandolfo D.
   Nuclear Physics B, 18 November 2002, vol. 644, no. 3, pp. 495-508(14), Ingenta.  
10. The density matrix for mixed state qubits and hyperbolic geometry.
    Ungar, Abraham A.
    Quantum Inf. Comput. 2 (2002), no. 6, 513--514, MathSciNet.  
11. Quasi-conformal geometry and hyperbolic geometry.
    Bourdon, Marc; Pajot, Hervé
    Rigidity in dynamics and geometry (Cambridge, 2000), 1--17, Springer, Berlin, 2002, MathSciNet.  
12. Compass and Straightedge in the Poincaré Disk  
    Chaim Goodman-Strauss
    Amer. Math. Monthly 108 (2001), no. 1, 38--49, Jstor.  
13. The Hyperbolic Derivative in the Poincare Ball Model of Hyperbolic Geometry
    Birman G.S.; Ungar A.A.
    Journal of Mathematical Analysis and Applications, 1 February 2001, vol. 254, no. 1, pp. 321-333(13), Ingenta.  
14. Hyperbolic trigonometry and its application in the Poincare ball model of hyperbolic geometry
    Ungar, A.A.  
    Computers and Mathematics with Applications, January 2001, vol. 41, no. 1, pp. 135-147(13), Compendex.
15. An Analog of the Poincaré Model for a Quaternion Hyperbolic Space
    Volchkov V.V.
    Ukrainian Mathematical Journal, October 2001, vol. 53, no. 10, pp. 1618-1625(8), Ingenta.  
16. Description of Kerr lens mode-locked lasers with Poincare maps in the complex plane
    Sanchez, L.M.; Hnilo, A.A.
    Optics Communications, v 199, n 1-4, Nov 15, 2001, p 189-199, Compendex.
17. Subscribed Content The Hyperbolic Derivative in the Poincaré Ball Model of Hyperbolic Geometry
    Birman G.S.; Ungar A.A.
    Journal of Mathematical Analysis and Applications, February 2001, vol. 254, no. 1, pp. 321-333(13), Ingenta.  
18. An analogue of the Poincaré model for a quaternion hyperbolic space. (Russian)
    Volchkov, Vit. V.
    Ukraïn. Mat. Zh. 53 (2001), no. 10, 1337--1342; translation in Ukrainian Math. J. 53 (2001), no. 10, 1618--1625, MathSciNet.  
19. Weyl calculus and Wigner transform on the Poincaré disk.
    Tate, Tatsuya
    Noncommutative differential geometry and its applications to physics (Shonan, 1999), 227--243, Math. Phys. Stud., 23, Kluwer Acad. Publ., Dordrecht, 2001, MathSciNet.  
20. Gyrovector spaces in the service of hyperbolic geometry.
    Ungar, Abraham A.
    Mathematical analysis and applications, 305--360, Hadronic Press, Palm Harbor, FL, 2000, MathSciNet.  
21. Hyperbolic Trigonometry and its Application in the Poincare Ball Model of Hyperbolic Geometry
    Ungar A.A.
    Computers and Mathematics with Applications, January 2000, vol. 41, no. 1, pp. 135-147(13), Ingenta.  
22. Flexibility of ideal triangle groups in complex hyperbolic geometry.
    Falbel, E.; Koseleff, P.-V.
    Topology 39 (2000), no. 6, 1209--1223, MathSciNet.  
23. Applications of the Poincare sphere in polarization metrology
    Nagib, N.N.; Khodier, S.A.
    Optics and Laser Technology, v 32, n 5, Jul, 2000, p 373-377, Compendex.
24. Scaled Korn--Poincaré inequality in BD and a model of elastic plastic cantilever
    Percivale D.; Tomarelli F.
    Asymptotic Analysis, 2000, vol. 24, no. 3-4, pp. 291-311(21), Ingenta.  
25. The Hyperbolic Pythagorean Theorem in the Poincare Disc Model of Hyperbolic Geometry  
    Abraham A. Ungar
    The American Mathematical Monthly, Vol. 106, No. 8 (Oct., 1999), pp. 759-763, Jstor.    
26. A Poincare-Covariant Parton Cascade Model for Ultrarelativistic Heavy-Ion Reactions
    Borchers V.; Gieseke S.; Martens G.; Meyer J.; Noack C.C.
    Nuclear Physics A, 27 December 1999, vol. 661, no. 1999, pp. 587c-591c(5), Ingenta.  
27. Klein, Hilbert and Poincare metrics of a domain
    Beardon, A.F.  
    Journal of Computational and Applied Mathematics, v 105, n 1-2, May, 1999, p 155-162, Compendex.
28. Poincaré's polyhedron theorem for complex hyperbolic geometry.
    Falbel, Elisha; Zocca, Valentino A
    J. Reine Angew. Math. 516 (1999), 133--158, MathSciNet.  
29. Hyperbolic geometry.
    Anderson, James W.
    Springer Undergraduate Mathematics Series. Springer-Verlag London, Ltd., London, 1999. x+230 pp., MathSciNet.  
30. Hyperbolic geometry and disks.
    Gehring, F. W.; Hag, K.
    Continued fractions and geometric function theory (CONFUN) (Trondheim, 1997). J. Comput. Appl. Math. 105 (1999), no. 1-2, 275--284, MathSciNet.  
31. Hyperbolic geometry: an introduction using calculus and complex variables. (Spanish)
    Muciño-Raymundo, Jesús
    Fourth Summer School on Geometry and Dynamical Systems (Spanish) (Guanajuato, 1997), 165--196, Aportaciones Mat. Comun., 21, Soc. Mat. Mexicana, México, 1998, MathSciNet.  
32. Scientific visualization of Poincare maps
    Wu, Shin-Ting; Campos, Sidney P.; De Aguiar, Marcus A.M.
    Computers & Graphics (Pergamon), v 22, n 2-3, Mar-Jun, 1998, p 209-216, Compendex.
33. Coherent superposition of polarized light - a Poincare sphere representation
    Kurzynowski, P. ; Ratajczyk, F.; Wozniak, W.A.
    Optik (Jena), v 109, n 1, 1998, p 22-26, Compendex.
34. Comparison theorems and orbit counting in hyperbolic geometry.
    Pollicott, Mark; Sharp, Richard
    Trans. Amer. Math. Soc. 350 (1998), no. 2, 473--499, MathSciNet.  
35. Thales Meets Poincare  
    David E. Dobbs  
    Mathematics Magazine, Vol. 70, No. 3 (Jun., 1997), pp. 185-195, Jstor.   
36. Field Theories on the Poincare Disk
    Ferrari, F.
    International Journal of Modern Physics A, v 11, n 30, 1996, p 5389--5404, Compendex.
37. Sources of hyperbolic geometry.
    Stillwell, John
    History of Mathematics, 10. American Mathematical Society, Providence, RI; London Mathematical Society, London, 1996. x+153 pp., MathSciNet.  
38. On a constructive property of Poincaré's model of the hyperbolean plane.
    Schreiber, Peter
    Henri Poincaré: science et philosophie (Nancy, 1994), 259--263, 581, Publ. Henri-Poincaré-Arch., Akademie Verlag, Berlin, 1996, MathSciNet.  
39. Poincaré, geometry and topology. (English. French summary)
    Stillwell, John
    Henri Poincaré: science et philosophie (Nancy, 1994), 231--240, 580, Publ. Henri-Poincaré-Arch., Akademie Verlag, Berlin, 1996.
40. Graphs with prescribed mean curvature on Poincaré disk.
    Duong Minh Duc; Nguyen Van Hieu
    Bull. London Math. Soc. 27 (1995), no. 4, 353--358, MathSciNet.  
41. The model of Nambu and Jona-Lasinio (NJL) using the kappa-deformed Poincare algebra
    Delfino A.; Dey J.; Malheiro M.
    Physics Letters B, 6 April 1995, vol. 348, no. 3, pp. 417-420(4), Ingenta.  
42. Poincaré models, rigorous justification of the second law of thermodynamics from mechanics, and the Fermi acceleration mechanism. (Russian)
    Pustyl'nikov, L. D.
    Uspekhi Mat. Nauk 50 (1995), no. 1(301), 143--186; translation in Russian Math. Surveys 50 (1995), no. 1, 145--189, MathSciNet.  
43. Investigating Circles in the Poincare Disk Using Geometer's Sketchpad  
    Bill Juraschek  
    The College Mathematics Journal, Vol. 25, No. 2 (Mar., 1994), pp. 145-154, Jstor.   
44. How Hyperbolic Geometry Became Respectable   
    Abe Shenitzer
    The American Mathematical Monthly, Vol. 101, No. 5 (May, 1994), pp. 464-470, Jstor.  
45. The geometry of Poincaré disks.
    Stanoyevitch, Alexander; Stegenga, David A.
    Complex Variables Theory Appl. 24 (1994), no. 3-4, 249--265, MathSciNet.  
46. Tau functions for the Dirac operator on the Poincaré disk.
    Palmer, John; Beatty, Morris; Tracy, Craig A.
    Comm. Math. Phys. 165 (1994), no. 1, 97--173, MathSciNet.  
47. Hyperbolic geometry on a hyperboloid
    Reynolds, William F.
    Amer. Math. Monthly 100 (1993), no. 5, 442--455, Jstor.
48. An empirical exploration of the Poincaré model for hyperbolic geometry  
    Austin, Joe Dan; Castellanos, Joel; Darnell, Ervan; Estrada, Maria
    Math. Comput. Ed. 27 (1993), no. 1, 51--68, MathSciNet.  
49. Interesting property of the Poincare sphere
    De Smet, D.J.  
    Applied Physics Communications, v 11, n 2-3, Jun-Sep, 1992, p 165-181, Compendex.
50. Apollonian packings and hyperbolic geometry.
    Ishida, Minoru; Kojima, Sadayoshi
    Geom. Dedicata 43 (1992), no. 3, 265--283, MathSciNet.  
51. Hyperbolic geometry.
    Iversen, Birger
    London Mathematical Society Student Texts, 25. Cambridge University Press, Cambridge, 1992. xiv+298 pp., MathSciNet.  
52. The Poincare Conjecture is True in the Product of any Graph with a Disk   
    David Gillman  
    Proceedings of the American Mathematical Society, Vol. 110, No. 3 (Nov., 1990), pp. 829-834, Jstor.    
53. Holonomic quantum field theory of bosons in the Poincaré disk and the zero curvature limit.
    Narayanan, Rajamani; Tracy, Craig A.
    Nuclear Phys. B 340 (1990), no. 2-3, 568--594, MathSciNet.  
54. Skurriles aus der Flora und Fauna hyperbolischer Geometrie. (German)
    [Amusing facts about the flora and fauna of hyperbolic geometry]
    Zeitler, Herbert
    Praxis Math. 31 (1989), no. 2, 108--111, MathSciNet.  
55. Conformal deformations of metrics on Poincaré disk.
    Cheng, Kuo-Shung; Tsen, Fu-Shiang P.; Yü, Wên Nêng
    Chinese J. Math. 16 (1988), no. 4, 229--238, MathSciNet.  
56. Complex hyperbolic geometry.
    Epstein, D. B. A.
    Analytical and geometric aspects of hyperbolic space (Coventry/Durham, 1984), 93--111, London Math. Soc. Lecture Note Ser., 111, Cambridge Univ. Press, Cambridge, 1987, MathSciNet.  
57. Hyperbolic geometry and Hölder continuity of conformal mappings.
    Näkki, Raimo; Palka, Bruce
    Ann. Acad. Sci. Fenn. Ser. A I Math. 10 (1985), 433--444, MathSciNet.  
58. The hyperbolic geometry with horocycles as primitive notions.
    Prazmowski, Krzysztof
    Zeszyty Nauk. Geom. 14 (1984), 41--46, MathSciNet.  
59. Uniform convexity, hyperbolic geometry, and nonexpansive mappings.
    Goebel, Kazimierz; Reich, Simeon
    Monographs and Textbooks in Pure and Applied Mathematics, 83. Marcel Dekker, Inc., New York, 1984. ix+170 pp., MathSciNet.  
60. Hyperbolic geometry: its models. (Catalan)
    Girbau, Joan
    Butl. Sec. Mat. Soc. Catalana Ciènc. Fís. Quím. Mat. 1983, no. 14, 98--124, MathSciNet.  
61. Hyperbolic geometry: the first 150 years.
    Milnor, John
    Bull. Amer. Math. Soc. (N.S.) 6 (1982), no. 1, 9--24, MathSciNet.  
62. Three-dimensional manifolds, Kleinian groups and hyperbolic geometry.
    Thurston, William P.
    Bull. Amer. Math. Soc. (N.S.) 6 (1982), no. 3, 357--381, MathSciNet.  
63. The Hilbert Model of Hyperbolic Geometry  
    Heinrich Guggenheimer
    The American Mathematical Monthly, Vol. 88, No. 10 (Dec., 1981), pp. 744-748, Jstor.   
64. The Upper Half Plane Model for Hyperbolic Geometry   
    Richard S. Millman  
    The American Mathematical Monthly, Vol. 87, No. 1 (Jan., 1980), pp. 48-53, Jstor.  
65. The new foundation of hyperbolic geometry.
    Menger, Karl
    A spectrum of mathematics (Essays presented to H. G. Forder), Auckland Univ. Press, Auckland, 1971, pp. 86--97, MathSciNet.  
66. The behavior of the characteristics of a certain differential equation in the Poincaré disk. (Russian)
    Kurbanova, Z. N.
    Izv. Akad. Nauk Turkmen. SSR Ser. Fiz.-Tehn. Him. Geol. Nauk 1971, no. 4, 12--17, MathSciNet.  
67. A Poincaré model of finite hyperbolic plane. (Russian)
    Podol'nyi, G. I.
    Moskov. Oblast. Ped. Inst. U\v cen. Zap. 253 1969 156--159 (1969), MathSciNet.  
68. A class of symmetric spaces with an extensible group of motions and a generalization of the Poincaré model. (Russian)
    Kantor, I. L.; Sirota, A. I.; Solodovnikov, A. S.
    Dokl. Akad. Nauk SSSR 173 1967 511--514, MathSciNet.  
69. On a new presentation of the hyperbolic trigonometry by aid of the Poincaré model.
    Hajós, G.; Szász, P.
    Ann. Univ. Sci. Budapest. Eötvös Sect. Math. 7 1964 67--71, MathSciNet.  
70. A Note on Parts and Hyperbolic Geometry  
    Joseph Lewittes
    Proceedings of the American Mathematical Society, Vol. 17, No. 5 (Oct., 1966), pp. 1087-1090, Jstor.   
71. Tangential Poincaré models of plane geometries of constant curvature. C. R. (Doklady)
    Yaglom, I. M.; Yaglom, A. M.
    Acad. Sci. URSS (N.S.) 53, (1946). 401--404, MathSciNet.  
72. An Instrument in Hyperbolic Geometry  
    M. W. Al-Dhahir  
    Proceedings of the American Mathematical Society, Vol. 13, No. 2 (Apr., 1962), pp. 298-304, Jstor.  
73. The Triangular Inequality in the Projective Model of a Hyperbolic Geometry  
    C. F. Moppert  
    The American Mathematical Monthly, Vol. 67, No. 8 (Oct., 1960), pp. 782-784 Jstor.  
74. Barbilian geometry and the Poincare Model  
    P. J. Kelly
    The American Mathematical Monthly, Vol. 61, No. 5 (May, 1954), pp. 311-319, Jstor.    
75. Hyperbolic Trigonometry Derived from the Poincare Model  
    Howard Eves; V. E. Hoggatt, Jr.
    The American Mathematical Monthly, Vol. 58, No. 7 (Aug., 1951), pp. 469-474, Jstor.     
76. Conformal Classification of Analytic Arcs or Elements: Poincare's Local Problem of Conformal Geometry  
    Edward Kasner  
    Transactions of the American Mathematical Society, Vol. 16, No. 3 (Jul., 1915), pp. 333-349, Jstor.  

(c) John H. Mathews 2005