Flat Projective Structures on Surfaces and Cubic Holomorphic Differentials

Details Flat Projective Structures on Surfaces and Cubic Holomorphic Differentials Flat Projective Structures on Surfaces and Cubic Holomorphic Differentials

2006-11-09

arxiv.org/abs/math/0611250v1

Mathematics

Differential Geometry

41 pages

Scientific paper

The purpose of this article is to give an interpretation of real projective
structures and associated cohomology classes in terms of connections, sections,
etc. satisfying elliptic partial differential equations in the spirit of Hodge
theory. We shall also give an application of these results as the uniqueness of
a minimal surface in a symmetric space.

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