On some rigidity results in Riemannian and sub-Riemannian geometries

Author : Aleksandar Vladimirov Petkov

Abstract :The Lichnerowicz - Obata theorem in Riemannian geometry is a classical result, that relates the first non-zero eigenvalue of the Laplacian on a compact Riemannian manifold and its Ricci curvature, and provides a characterization in the equality case. Along with the classical results in Riemannian geometry, we intend to discuss in this talk corresponding results in certain sub-Riemannian geometries, with emphasis on Quaternionic contact geometry.

Keywords :Extending the Lichnerowicz–Obata theorem to sub-Riemannian and Quaternionic contact geometry

Conference Name :International Conference on Advances in Pure & Applied Mathematics (ICAPAM-25)

Conference Place Thessaloniki, Greece

Conference Date 31st Oct 2025