Zair Ibragimov
Department of Mathematics
California State University
Fullerton, CA 92831
Phone: (657)278-2741
E-mail: zibragimov@fullerton.edu
Publications
21. Z. Ibragimov, Hyperbolizing
metric spaces, Preprint 2010.
20. Z. Ibragimov, Hyperbolicity
of the extremal length, Preprint 2010.
19. Z. Ibragimov, A hyperbolic characterization of ultrametric spaces,
Preprint 2010.
18. Z. Ibragimov, A note on a problem of Borsuk and Ulam, 2009 (submitted).
17. Z. Ibragimov, Hyperbolizing
Hyperspaces, 2009 (submitted).
16. Z. Ibragimov, Quasi-isometric
extensions of quasi-symmetric mappings of the real line compatible with
composition, Ann. Acad. Sci. Fenn., Ser. A I 35
(2010), (to appear).
15. P. Hasto, Z. Ibragimov and D.
Minda, Convex sets of constant width and $3$-diameter, 2008 (submitted).
14. Z. Ibragimov, The Cassinian metric of a domain in R^n, Uzbek Math. J., No. 1 (2009), 53--67.
13. M. Borovikova and Z.
Ibragimov, The Third Symmetric Product of R, Comput. Methods and Funct. Theory, 9 (2009), No.
1, 255--268.
12. M. Borovikova and Z.
Ibragimov, Convex bodies of constant width and the Apollonian metric, Bull. Malays. Math. Sci.
Soc. (2) 31, (2) (2008), 1--12.
11. D. Herron,
Z. Ibragimov and D. Minda, Geodesics and curvature of M\"obius invariant
metrics, Rocky Mount. J. of Math., (38) 3,
2008, 891--921.
10. P. Hasto,
Z. Ibragimov, D. Minda, S. Ponnusamy and S. Sahoo, Isometries of some
hyperbolic-type path metrics, and the hyperbolic medial axis, In the Tradition
of Ahlfors-Bers, IV (Ann Arbor,
MI, 2005), 63-74, Contemp. Math. 432, Amer. Math. Soc., Providence,
RI, 2007.
9. P. Hasto and Z. Ibragimov,
Apollonian isometries of regular domains are
M\"obius mappings, Ann. Acad. Sci. Fenn., Ser. A
I 32 (2007), no. 1, 83--98.
8. P. Hasto, Z.
Ibragimov and H. Linden, Isometries of relative metrics, Computational Methods
and Function Theory, 6 (2006), No. 1, 15--28.
7. P. Hasto and Z. Ibragimov,
Apollonian isometries of plane domains are M\"obius mappings, J. of Geom.
Analysis, 15 (2005), No. 2, 229--237.
6. Z. Ibragimov, Conformality of
the Apollonian metric, Computational Methods and Function Theory, Vol. 3, No.
2, 2003, 397--411.
5. Z. Ibragimov, On the Apollonian metric
of domains in R^n, Complex Variables, Vol. 48, No. 10, 2003, 837--855.
4. Z.
Ibragimov, M\"obius modulus of ring domains in R^n, Ann. Acad. Sci. Fenn.,
Ser. A
I Math., Vol. 28, 2003, 193--206.
3. Z. Ibragimov, The Apollonian
metric, sets of constant width and M\”obius modulus of ring domains,
Ph.D. Thesis, University of Michigan, Ann Arbor, 2002.
2. Z. Ibragimov, Metric density
and quasim\"obius mappings, Siberian Math. J., Vol. 43, No. 5, 2002,
1007--1019.
1. Z. Ibragimov,
Quasi-M\"obius embeddings on $\mu$-dense sets, Math. Analysis
and Diff. Eq., 44--52, Novosibirsk,
1991 (Russian).