most recent 30 from http://mathoverflow.net 2013-05-25T01:33:45Z http://mathoverflow.net/feeds/question/119816 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/119816/radially-half-complete-projective-manifold DAVID 2013-01-25T07:26:37Z 2013-01-25T07:26:37Z

<p>S.Choi in his article " Geometric structures on low-dimensional manifolds " introduced some new concepts.one of them is " radially half-complete projective manifold ". In section 2 , paragraph 1 in the above article , he said : " a projective manifold is said to be radially half complete if each point of the universal cover has a neighborhood which mapped homeomorphically to an open cone with a common vertex by a developing map where the vertex is independent of the neighborhoods but may be dependent on developing maps.obviously a radially half-complete projective manifold is diffeomeorphic to a surface times an open interval."</p> <p>what does " independent of neighborhoods but may dependent on developing maps " mean here? why a radially half-complete projective manifold is diffeomorphic to a surface times an open interval?</p>