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arXiv · 1908.06476

Algebraic conditions for the positivity of sectional curvature

Dan Gregorian Fodor
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Abstract

We examine algebraic conditions for the sectional positivity of the Riemann curvature operator. We describe sufficient conditions for dimension $n=4$, and complete characterization for a dense open subset of the space of operators in dimension $4$. We also briefly examine higher-dimentional curvature operators.

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Dan Gregorian Fodor. 2019-08-18. Algebraic conditions for the positivity of sectional curvature. https://arxiv.org/abs/1908.06476

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