Parallel spinors and parallel forms
type: Item
instance of: scholarly article
title: Parallel spinors and parallel forms
zbMATH Open document ID: 0688.53007
DOI: 10.1007/BF00137402
published in: Annals of Global Analysis and Geometry
publication date: 1989-01-01T00:00:00Z
review text: Let (M,g) be a complete simply connected irreducible Riemannian spin manifold. Then if (M,g) admits a non-zero parallel spinor then g is Ricci-flat. By employing the Berger-Simons theorem and some representation theory, the author deduces the dimension of the space of parallel spinors. This is achieved by giving a uniform description of the possible special structures in terms of parallel spinors and the bilinear invariants of the spin representations.
Mathematics Subject Classification ID: 53C27
Mathematics Subject Classification ID: 53C20
zbMATH DE Number: 4127996
zbMATH Keywords: parallel spinors
zbMATH Keywords: spin manifold
author: McKenzie Y. Wang
reviewed by: Joseph D. Zund
MaRDI profile type: Publication
cites work: Q5345512
cites work: Zur Existenz paralleler Spinorfelder über Riemannschen Mannigfaltigkeiten
cites work: Harmonic spinors
cites work: Champs spinoriels et propagateurs en relativité générale
cites work: Q3324593
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description: scientific article; zbMATH DE number 4127996