Lorentzian Spectral Geometry for Globally Hyperbolic Surfaces
Mathematical Physics
2016-11-07 v3 Differential Geometry
math.MP
Spectral Theory
Abstract
The fermionic signature operator is analyzed on globally hyperbolic Lorentzian surfaces. The connection between the spectrum of the fermionic signature operator and geometric properties of the surface is studied. The findings are illustrated by simple examples and counterexamples.
Keywords
Cite
@article{arxiv.1411.3578,
title = {Lorentzian Spectral Geometry for Globally Hyperbolic Surfaces},
author = {Felix Finster and Olaf Müller},
journal= {arXiv preprint arXiv:1411.3578},
year = {2016}
}
Comments
49 pages, LaTeX, 7 figures, minor improvements (published version)