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).