Showing math.DGShow all
2 papers · 1 filter
math.DG2023
Two Applications of Topological Fixed Point Theory
Chaitanya Ambi
We give a new proof of Cartan's fixed point theorem using topological fixed point theory. For an odd dimensional, simply connected and complete manifold having non-positive curvatu…
math.DG2023
A Systolic Inequality for the Filling Area Conjecture
Chaitanya Ambi
We prove an upper bound on the systolic ratio of an orientable isometric filling of the circle equipped with a Riemannian metric. The bound depends only on the genus of isometric f…