4-dimensional compact manifolds with nonnegative biorthogonal curvature

E. Costa; E. Ribeiro Jr

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arXiv · 1311.1057

4-dimensional compact manifolds with nonnegative biorthogonal curvature

E. Costa·E. Ribeiro Jr

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Abstract

The goal of this article is to study the pinching problem proposed by S.-T. Yau in 1990 replacing sectional curvature by one weaker condition on biorthogonal curvature. Moreover, we classify 4-dimensional compact oriented Riemannian manifolds with nonnegative biorthogonal curvature. In particular, we obtain a partial answer to Yau Conjecture on pinching theorem for 4-dimensional compact manifolds.

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BibTeX RIS

E. Costa, E. Ribeiro Jr. 2014-03-27. 4-dimensional compact manifolds with nonnegative biorthogonal curvature. https://arxiv.org/abs/1311.1057

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