On non-simply connected manifolds with non-trivial parallel spinors
type: Item
instance of: scholarly article
title: On non-simply connected manifolds with non-trivial parallel spinors
zbMATH Open document ID: 0826.53041
DOI: 10.1007/BF00774565
published in: Annals of Global Analysis and Geometry
publication date: 1995-11-14T00:00:00Z
review text: In this paper the author studies the possibilities of the full holonomy groups of locally irreducible but not necessarily complete Riemannian spin manifolds admitting a nontrivial parallel spinor (and the related notion of Killing spinors) and the dimension \(N\) of the space of parallel spinors. Four important theorems and one proposition as well as some corollaries are proved. A discussion of the results is given, particularly in relation to the use of parallel spinors in global supersymmetric transformations.
Mathematics Subject Classification ID: 53C25
Mathematics Subject Classification ID: 53C27
zbMATH DE Number: 761176
zbMATH Keywords: Riemannian spin manifolds
zbMATH Keywords: parallel spinor
zbMATH Keywords: supersymmetric transformations
author: McKenzie Y. Wang
reviewed by: Waldyr A. jun. Rodrigues
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 761176