Monotonicity of the Yamabe invariant under connect sum over the boundary
type: Item
instance of: scholarly article
title: Monotonicity of the Yamabe invariant under connect sum over the boundary
zbMATH Open document ID: 1168.53022
author: Fernando Schwartz
published in: Annals of Global Analysis and Geometry
publication date: 2009-06-17T00:00:00Z
review text: It is proved that the Yamabe invariant of manifolds with boundary satisfies a monotonicity property with respect to connected sums along the boundary, similar to the one in the closed case. As a consequence it is deduced that handlebodies have maximal invariant.
reviewed by: Gheorghe Pitiş
Mathematics Subject Classification ID: 53C21
Mathematics Subject Classification ID: 53C20
Mathematics Subject Classification ID: 57R65
zbMATH DE Number: 5566009
zbMATH Keywords: manifold with boundary
zbMATH Keywords: positive scalar curvature
zbMATH Keywords: Yamabe invariant
zbMATH Keywords: handlebodies
MaRDI profile type: Publication
full work available at URL: s10455-008-9125-9
OpenAlex ID: W2038211015
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DOI: 10.1007/S10455-008-9125-9
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description: scientific article; zbMATH DE number 5566009