New methods of the Bochner technique and their applications
type: Item
instance of: scholarly article
title: New methods of the Bochner technique and their applications
zbMATH Open document ID: 1042.53018
DOI: 10.1023/A:1021010519788
published in: Journal of Mathematical Sciences (New York)
publication date: 2003-01-01T00:00:00Z
review text: The Bochner technique is a general method for proving vanishing theorems. The purpose of this paper is to extend the field of application. The author uses the Bochner technique to obtain some theorems in affine differential geometry and tensor bundle geometry over a manifold. In particular, he proves that \(T^p(M,R)\cong T^{n-p}(M,R)\) for an \(n\)-dimensional Riemannian manifold \((M,g)\), where \(T^p(M,R)\) denotes the vector space of conformal Killing \(p\)-forms on \((M,g)\).
reviewed by: An-Min Li
Mathematics Subject Classification ID: 53C20
Mathematics Subject Classification ID: 53A15
zbMATH DE Number: 1897079
zbMATH Keywords: vanishing theorems
zbMATH Keywords: affine differential geometry
zbMATH Keywords: conformal Killing \(p\)-forms
author: Sergey E. Stepanov
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1897079