In " Geometric structures on low-dimensional manifolds " , section 2 , we have : given a projective tame 3-manifold with radial ends , each end surface has a projective structure since a developing image from manifold induces a developing map from a component of a neighborhood of an aend which homeomorphic to a surface times R to R3 where lines all map to radial lines from a point.since the set of lines ending at a given point of RP3 form a sphere with projective structure , it follows that each end surface has an induced projective structure ". why the set of lines ending at a given point of RP3 form a sphere with projective structure ?
Remember to vote up questions/answers you find interesting or helpful (requires 15 reputation points)
|
0
|
|||||||||||
|
