Rigidity and Vanishing Theorems for Almost Even-Clifford Hermitian Manifolds

Abstract

We prove the rigidity and vanishing of several indices of "geometrically natural" twisted Dirac operators on almost even-Clifford Hermitian manifolds admitting circle actions by automorphisms.

References in corpus (2)

• Centralizers of spin subalgebras
• A note on the geometry and topology of almost even-Clifford Hermitian manifolds

Cited by in corpus (2)

• Local Geometry of Even Clifford Structures on Conformal Manifolds
• Spinorially Twisted Spin Structures. II: Twisted Pure Spinors, Special Riemannian Holonomy and Clifford Monopoles