Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4606434 | Differential Geometry and its Applications | 2008 | 12 Pages |
Abstract
Assume that the compact Riemannian spin manifold (Mn,g) admits a G-structure with characteristic connection â and parallel characteristic torsion (âT=0), and consider the Dirac operator D1/3 corresponding to the torsion T/3. This operator plays an eminent role in the investigation of such manifolds and includes as special cases Kostant's “cubic Dirac operator” and the Dolbeault operator. In this article, we describe a general method of computation for lower bounds of the eigenvalues of D1/3 by a clever deformation of the spinorial connection. In order to get explicit bounds, each geometric structure needs to be investigated separately; we do this in full generality in dimension 4 and for Sasaki manifolds in dimension 5.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Ilka Agricola, Thomas Friedrich, Mario Kassuba,