Transversely symplectic Dirac operators on a transversely symplectic foliation
Differential Geometry
2021-12-17 v2
Abstract
We study the transversely metaplectic structure and the transversely symplectic Dirac operator on a transversely symplectic foliation. Moreover, we give the Weitzenbock type formula for transversely symplectic Dirac operators and we estimate the lower bound of the eigenvalues of the transversely symplectic Dirac operator on special spinors space on transverse Kahler foliations.
Keywords
Cite
@article{arxiv.2110.09752,
title = {Transversely symplectic Dirac operators on a transversely symplectic foliation},
author = {Seoung Dal Jung},
journal= {arXiv preprint arXiv:2110.09752},
year = {2021}
}
Comments
28 pages, This is revised version