The exterior derivative as a Killing vector field
type: Item
instance of: scholarly article
title: The exterior derivative as a Killing vector field
zbMATH Open document ID: 0853.58010
DOI: 10.1007/BF02761099
published in: Israel Journal of Mathematics
publication date: 1996-05-14T00:00:00Z
review text: The authors prove that for any graded metric on a graded manifold there exists a unique torsionless and metric graded connection. The formula used to define the metric graded connection coincides with the one given by the reviewer for even metrics on supermanifolds [cf. the reviewer, Preprint, Seminarul de Mecanica, Univ. Timisoara 30 (1990)]. Starting from a Riemannian metric \(g\), the authors also define an odd metric \(G\) and study the gradient, divergence and Laplacian operators for \(G\).
Mathematics Subject Classification ID: 58A50
Mathematics Subject Classification ID: 53C05
zbMATH DE Number: 878287
zbMATH Keywords: graded manifolds
zbMATH Keywords: metric graded connection
zbMATH Keywords: gradient
zbMATH Keywords: divergence
zbMATH Keywords: Laplacian
author: Juan Monterde
author: O. A. Sánchez-Valenzuela
reviewed by: Aurel Bejancu
MaRDI profile type: Publication
cites work: Graded Poisson structures on the algebra of differential forms
cites work: Q3244523
cites work: Q4130629
cites work: Q4722889
cites work: Existence and uniqueness of solutions to superdifferential equations
cites work: Superconnections and the Chern character
cites work: Q3344780
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description: scientific article; zbMATH DE number 878287