Correspondence between Pestov and Weitzenb\"ock identities
Differential Geometry
2025-06-04 v2 Analysis of PDEs
Dynamical Systems
Representation Theory
Abstract
The aim of this note is to establish the correspondence between the twisted localized Pestov identity on the unit tangent bundle of a Riemannian manifold and the Weitzenb\"ock identity for twisted symmetric tensors on the manifold.
Cite
@article{arxiv.2305.01092,
title = {Correspondence between Pestov and Weitzenb\"ock identities},
author = {Mihajlo Cekić and Thibault Lefeuvre and Andrei Moroianu and Uwe Semmelmann},
journal= {arXiv preprint arXiv:2305.01092},
year = {2025}
}
Comments
22 pages. v2: added some references