Journal of the Korean Mathematical Society (대한수학회지)
- Volume 33 Issue 4
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- Pages.1139-1171
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- 1996
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- 0304-9914(pISSN)
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- 2234-3008(eISSN)
CONVEX DECOMPOSITIONS OF REAL PROJECTIVE SURFACES. III : FOR CLOSED OR NONORIENTABLE SURFACES
- Park, Suh-Young (Department of Mathematics College of Natural Sciences Seoul National University)
- Published : 1996.11.01
Abstract
The purpose of our research is to understand geometric and topological aspects of real projective structures on surfaces. A real projective surface is a differentiable surface with an atlas of charts to $RP^2$ such that transition functions are restrictions of projective automorphisms of $RP^2$. Since such an atlas lifts projective geometry on $RP^2$ to the surface locally and consistently, one can study the global projective geometry of surfaces.
Keywords
- geometric structure;
- real projective structure;
- low-dimensional manifold;
- convexity;
- discrete group action