User bidyut sanki - MathOverflow most recent 30 from http://mathoverflow.net 2013-05-20T02:24:35Z http://mathoverflow.net/feeds/user/23358 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/126352/injectivity-radius-of-hyperbolic-surface injectivity radius of hyperbolic surface Bidyut Sanki 2013-04-03T05:36:40Z 2013-04-15T13:56:06Z <p>Given a positive real number $l$. Does there exist a closed hyperbolic surface $X$ so that injectivity radius not less than $l$?</p> http://mathoverflow.net/questions/124396/finite-index-subgroup-of-a-fuchsian-group finite index subgroup of a fuchsian group Bidyut Sanki 2013-03-13T09:46:40Z 2013-03-16T14:28:25Z <p>Given G, a fuchsian group and a finite sub set A of G. Does there exist a finite index subgroup H in G such that inter section of A with H is empty? </p> http://mathoverflow.net/questions/118431/representation-of-teichmuller-space-teichmuller-space representation of teichmuller space Teichmuller space Bidyut Sanki 2013-01-09T09:42:43Z 2013-01-09T14:57:49Z <p>I want to study representation of teichmuller space of surface of genus g in psl(2,R). can you suggest any good references.</p> http://mathoverflow.net/questions/118429/fundamental-group-of-a-compact-manifold fundamental group of a compact manifold Bidyut Sanki 2013-01-09T09:36:49Z 2013-01-09T10:18:52Z <p>why fundamental group of of compact manifold is finitely presented</p> http://mathoverflow.net/questions/95724/uniqueness-of-distance-realizing-geodesic-in-hyperbolic-surface Uniqueness of distance realizing geodesic in hyperbolic surface. Bidyut Sanki 2012-05-02T05:22:59Z 2012-05-02T06:47:32Z <blockquote> <p><strong>Possible Duplicate:</strong><br> <a href="http://mathoverflow.net/questions/95640/hyperbolic-surfaces" rel="nofollow">Hyperbolic surfaces</a> </p> </blockquote> <p>Given a hyperbolic surface S with geodesic boundary. Let a and b be two distinct simple closed geodesic boundaries. Does there exist a unique distance realizing geodesic in S? (1) for S is a pair of pants. (2) S is any hyperbolic surface with boundary. </p> http://mathoverflow.net/questions/118429/fundamental-group-of-a-compact-manifold/118435#118435 Comment by Bidyut Sanki Bidyut Sanki 2013-01-09T10:29:13Z 2013-01-09T10:29:13Z Thank you very much http://mathoverflow.net/questions/95829/distance-of-a-point-from-a-geodesic-on-hyperbolic-surface Comment by Bidyut Sanki Bidyut Sanki 2012-05-03T18:43:25Z 2012-05-03T18:43:25Z @ Sam Nead, The motivation is the following: It is wellknown that given a geodesic $\gamma$ a point $p$ in hyperbolic plane then there is a unique geodesic from p to $\gamma$ meeting perpendicularly and realizes the distance from p to $\gamma$. So if we take hyperbolic surface instead of hyperbolic plane then what will happen. @ Anton Petrunin Please provede a proof or reference for your answer. Thanks a lot http://mathoverflow.net/questions/95724/uniqueness-of-distance-realizing-geodesic-in-hyperbolic-surface/95728#95728 Comment by Bidyut Sanki Bidyut Sanki 2012-05-02T08:26:32Z 2012-05-02T08:26:32Z well, I have got an example of hyperbolic surface with boundary where more than one (at least two) distance realizing geodesics between two distinct geodesic boundaries will exist. I have a further question: Suppose p and q are two distance realizing geodesics between the boundary geodesics. Is it true that p and q are always disjoint? http://mathoverflow.net/questions/95640/distance-realizing-geodesics-in-hyperbolic-surfaces Comment by Bidyut Sanki Bidyut Sanki 2012-05-02T05:26:14Z 2012-05-02T05:26:14Z @ Yemon choi.. Sure