Calculus of Variations and Geometric Measure Theory

A. Figalli - L. Rifford - C. Villani

Tangent cut loci on surfaces

created by figalli on 23 Jan 2011


Accepted Paper

Inserted: 23 jan 2011

Journal: Differential Geom. Appl.
Year: 2011


Given a smooth compact Riemannian surface, we prove that if a suitable convexity assumption on the tangent focal cut loci is satisfied, then all injectivity domains are semiconvex.