The monotonicity of an entropy like energy for the heat equation on a quaternionic contact and CR manifolds

TL;DR

This paper proves that a specific entropy-like energy associated with the heat equation exhibits monotonic behavior on quaternionic contact and CR manifolds, extending understanding of geometric analysis in these contexts.

Contribution

It provides the first proof of monotonicity of an entropy-like energy for the heat equation on quaternionic contact and CR manifolds.

Findings

Established monotonicity of entropy-like energy on quaternionic contact manifolds.

Extended monotonicity results to CR manifolds.

Contributed to geometric analysis of heat equations on complex structures.

Abstract

A proof of the monotonicity of an entropy like energy for the heat equation on a quaternionic contact and CR manifolds is proven