Embedded constant curvature curves on convex surfaces

TL;DR

This paper proves the existence of embedded closed curves with constant curvature on convex surfaces, contributing to the understanding of geometric properties of such surfaces.

Contribution

It establishes the existence of embedded constant curvature curves on convex surfaces, a novel result in differential geometry.

Findings

Embedded closed constant curvature curves exist on convex surfaces

The proof advances geometric understanding of convex surfaces

Results may influence future research in surface geometry

Abstract

We prove the existence of embedded closed constant curvature curves on convex surfaces.