Rigidity and Vanishing Theorems for Almost Even-Clifford Hermitian Manifolds

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2017
• Main Authors: Garcia-Pulido, A.L., Herrera, R.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2017
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/148567
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Rigidity and Vanishing Theorems for Almost Even-Clifford Hermitian Manifolds / A.L. Garcia-Pulido, R. Herrera // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 24 назв. — англ.

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.