Extrinsic Killing spinors
type: Item
instance of: scholarly article
title: Extrinsic Killing spinors
zbMATH Open document ID: 1035.53066
author: Oussama Hijazi
author: Sebastián Montiel
published in: Mathematische Zeitschrift
publication date: 2003-08-17T00:00:00Z
review text: By employing certain intrinsic and extrinsic curvature assumptions on a Riemannian spin manifold and its boundary, the authors establish the existence of an isomorphism between the restriction to the boundary of parallel spinors and extrinsic Killing spinors of nonnegative Killing constant. It is shown as a corollary that a complete Ricci-flat spin manifold with mean-convex boundary isometric to a round sphere is necessarily a flat disc. They further suggest that this result may be useful in the Hartle-Hawking `no boundary' proposal in relativistic cosmology. Contents include: an introduction; Riemannian spin manifolds with boundary; parallel spinors and extrinsic Killing spinors; extension of extrinsic Killing spinor fields; and a bibliography of twenty-four items.
Mathematics Subject Classification ID: 53C27
Mathematics Subject Classification ID: 58J60
zbMATH DE Number: 1965494
zbMATH Keywords: Killing spinors
zbMATH Keywords: parallel spinors
zbMATH Keywords: Riemannian spin manifolds
reviewed by: Joseph D. Zund
MaRDI profile type: Publication
full work available at URL: s00209-003-0503-5
OpenAlex ID: W2133335537
Wikidata QID: Q125922638
DOI: 10.1007/S00209-003-0503-5
description: scientific article; zbMATH DE number 1965494