A higher rank rigidity theorem for convex real projective manifolds

TL;DR

This paper extends the higher rank rigidity theorem to convex real projective manifolds, providing new insights into their geometric structure and rigidity properties.

Contribution

It introduces a higher rank rigidity theorem specifically for convex real projective manifolds, expanding the scope of previous rigidity results.

Findings

Establishes a rigidity theorem for convex real projective manifolds

Shows that higher rank conditions imply strong geometric constraints

Provides a framework for understanding the structure of these manifolds

Abstract

For convex real projective manifolds we prove an analogue of the higher rank rigidity theorem of Ballmann and Burns-Spatzier.