Lower bounds for eigenvalues of the Dirac-Witten operator
type: Item
instance of: scholarly article
title: Lower bounds for eigenvalues of the Dirac-Witten operator
zbMATH Open document ID: 1187.53050
published in: Science in China. Series A
publication date: 2010-01-06T00:00:00Z
review text: The author obtains optimal lower bounds for the eigenvalues of the Dirac-Witten operator associated with a space-like hypersurface \(M\) of a Lorentzian manifold (with or without boundary), subject to certain conditions involving the mean curvature, the scalar curvature, and the spinor energy-momentum tensor. In the limiting case the space-like hypersurface is either a maximal Einstein manifold with positive scalar curvature, or a Ricci-flat manifold with non-zero constant mean curvature. Contents include: Introduction (containing a brief overview of the topic); Main results (statement and proofs when \(M\) is without a boundary); the corresponding cases when \(M\) has a boundary; an Example (the de Sitter spacetime imbedded in a 5-dimensional Minkowskian space-time); and References (containing 19 items).
reviewed by: Joseph D. Zund
Mathematics Subject Classification ID: 53C27
Mathematics Subject Classification ID: 53C40
Mathematics Subject Classification ID: 53C80
Mathematics Subject Classification ID: 83C60
zbMATH DE Number: 5654010
zbMATH Keywords: Dirac-Witten operator
zbMATH Keywords: eigenvalues
zbMATH Keywords: space-like hypersurfaces of a Lorentzian manifold
author: Yongfa Chen
MaRDI profile type: Publication
full work available at URL: s11425-009-0180-x
OpenAlex ID: W2011277768
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DOI: 10.1007/S11425-009-0180-X
description: scientific article; zbMATH DE number 5654010