Riemannian foliations and the kernel of the basic Dirac operator

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica

Slesar Vladimir¹ 

[1] Department of Mathematics, University of Craiova, 13 Al.I. Cuza, Craiova, RO-200585, Romania;

关键词: riemannian foliations;    dirac bundles;    vanishing results;   

DOI  :  10.2478/v10309-012-0046-z

来源: DOAJ

【 摘 要 】

In this paper, in the special setting of a Riemannian foliation en- dowed with a bundle-like metric, we obtain conditions that force the vanishing of the kernel of the basic Dirac operator associated to the metric; this way we extend the traditional setting of Riemannian foli- ations with basic-harmonic mean curvature, where Bochner technique and vanishing results are known to work. Beside classical conditions concerning the positivity of some curvature terms we obtain new rela- tions between the mean curvature form and the kernel of the basic Dirac operator

【 授权许可】

Unknown