English

Algebraic conditions for the positivity of sectional curvature

Differential Geometry 2019-08-21 v2 Algebraic Geometry

Abstract

We examine algebraic conditions for the sectional positivity of the Riemann curvature operator. We describe sufficient conditions for dimension n=4n=4, and complete characterization for a dense open subset of the space of operators in dimension 44. We also briefly examine higher-dimentional curvature operators.

Keywords

Cite

@article{arxiv.1908.06476,
  title  = {Algebraic conditions for the positivity of sectional curvature},
  author = {Dan Gregorian Fodor},
  journal= {arXiv preprint arXiv:1908.06476},
  year   = {2019}
}

Comments

Corrected typos