Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4605984 | Differential Geometry and its Applications | 2014 | 13 Pages |
Abstract
Dirac operators on Lie algebroids are defined and investigated. The Lie algebroid is equipped with a structure of a Clifford module. The quadratic form generating the Clifford algebra structure need not to be nondegenerated. Weitzenböck type formulas for the square of the Dirac operators are derived.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Bogdan Balcerzak, Antoni Pierzchalski,