Dirac operators on lightlike hypersurfaces
Differential Geometry
2020-09-25 v1
Abstract
In this study, we obtain a spinorial Gauss formula for a lightlike hypersurface in Lorentzian manifold with 4-dimension. Then, we take into account the changes caused by degenerate metric on hypersurface and investigate Dirac operator for lightlike hypersurface. Later, we establish the relation between Dirac operators and Riemannian curvatures of manifold and hypersurface.
Cite
@article{arxiv.2009.11609,
title = {Dirac operators on lightlike hypersurfaces},
author = {Gulsah Aydin Sekerci and Abdilkadir Ceylan Coken},
journal= {arXiv preprint arXiv:2009.11609},
year = {2020}
}