Ana Lucia Garcia-Pulido, Rafael Herrera, “Rigidity and Vanishing Theorems for Almost Even-Clifford Hermitian Manifolds”, SIGMA, 2017, Volume 13,027, 28 pp.

This article is cited in 3 papers

Rigidity and Vanishing Theorems for Almost Even-Clifford Hermitian Manifolds

Ana Lucia Garcia-Pulido, Rafael Herrera

Centro de Investigación en Matemáticas, A. P. 402, Guanajuato, Gto., C.P. 36000, México

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.

Keywords: almost even-Clifford Hermitian manifolds; index of elliptic operator; twisted Dirac operators; circle action by automorphisms.

MSC: 53C10; 53C15; 53C25; 58J20; 57S15

Received: October 10, 2016; in final form April 19, 2017; Published online April 23, 2017

Language: English

DOI: 10.3842/SIGMA.2017.027