The higher spin Dirac operators
Differential Geometry
2007-05-23 v1 Analysis of PDEs
Abstract
There is a certain family of conformally invariant first order elliptic operators on Riemannian spin manifold which include Dirac operator as its first and simplest member. Their general definition is given and their basic properties are described. A special attention is paid to the Rarita-Schwinger operator the second simplest operator in the row. Its basic properties are described in more details. In the last part indices of discussed operators are computed.
Cite
@article{arxiv.math/9901039,
title = {The higher spin Dirac operators},
author = {Jarolim Bures},
journal= {arXiv preprint arXiv:math/9901039},
year = {2007}
}
Comments
Latex, 21 pages, submitted to Proc.Conf Diff. Geometry and its Applications Brno 1998