Dirac operators on Hermitian spin surfaces
type: Item
instance of: scholarly article
title: Dirac operators on Hermitian spin surfaces
zbMATH Open document ID: 0991.53029
DOI: 10.1023/A:1006601622448
author: Stefan Ivanov
author: Bogdan Alexandrov
published in: Annals of Global Analysis and Geometry
publication date: 2001-02-11T00:00:00Z
review text: In this paper a proof is given of the conformal invariance of the kernel dimension of a self-adjoint Dirac operator associated with one of the canonical Hermitian connections on a Hermitian spin surface. In the case of nonnegative conformal scalar curvature an estimate is given for the first eigenvalue of the Dirac operator associated with the Chern connection. Finally, a list is given of the surfaces on which its kernel is nontrivial.
Mathematics Subject Classification ID: 53C27
Mathematics Subject Classification ID: 53C55
Mathematics Subject Classification ID: 53C07
zbMATH DE Number: 1563291
zbMATH Keywords: self-adjoint Dirac operator
zbMATH Keywords: Hermitian spin surface
zbMATH Keywords: Chern connection
reviewed by: Anton Deitmar
MaRDI profile type: Publication
full work available at URL: a:1006601622448
OpenAlex ID: W14290235
description: scientific article; zbMATH DE number 1563291