Pinching estimates for dual flows in hyperbolic and de Sitter space

TL;DR

This paper establishes pinching estimates for dual geometric flows in hyperbolic and de Sitter spaces, under conditions on the convexity of the curvature function in the inverse flow.

Contribution

It introduces new pinching estimates for dual flows in hyperbolic and de Sitter spaces, assuming convexity of the curvature function in the inverse flow.

Findings

Pinching estimates are proven for dual flows in de Sitter space.

Convexity of the curvature function is a key condition.

Results extend understanding of geometric flow behavior in curved spaces.

Abstract

We prove pinching estimates for dual flows provided the curvature function used in the inverse flow in de Sitter space is convex.