4 papers
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…
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…
Some Characterisations of p-adic Analytic Groups
Chaitanya Ambi
We give three necessary and sufficient conditions for a pro-p group to be p-adic analytic. We show that a noetherian pro-p group having finite chain length has a finite rank and co…
A Simple Generalised Plancherel Formula for Compactly Induced Characters
Chaitanya Ambi
The aim of this article is to present a simple generalized Plancherel formula for a locally compact unimodular topological group G of type I. This formula specializes to the Whitta…