Correspondence between Pestov and Weitzenböck identities

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 Weitzenböck identity for twisted symmetric tensors on the manifold.

22 pages. v2: added some references

References in corpus (3)

• On the ergodicity of unitary frame flows on Kähler manifolds
• On the ergodicity of the frame flow on even-dimensional manifolds
• Towards Brin's conjecture on frame flow ergodicity: new progress and perspectives