Scalar curvature estimates for \((n+ 4k)\)-dimensional spin manifolds
type: Item
instance of: scholarly article
title: Scalar curvature estimates for \((n+ 4k)\)-dimensional spin manifolds
zbMATH Open document ID: 0864.53020
DOI: 10.1016/S0926-2245(96)00025-3
author: Marcelo Llarull
published in: Differential Geometry and its Applications
publication date: 1996-11-26T00:00:00Z
review text: Combining vanishing arguments with Dirac operator techniques, some sharp estimates on the scalar curvature of \((n+ 4k)\)-dimensional spin compact manifolds which admit a nonzero \(\widehat {A}\)-degree distance decreasing map into the standard sphere are established. The estimates are extended to the noncompact case provided the map is constant at infinity.
reviewed by: Marcelo Llarull
Mathematics Subject Classification ID: 53C15
Mathematics Subject Classification ID: 53C20
Mathematics Subject Classification ID: 57R15
zbMATH DE Number: 937463
zbMATH Keywords: Dirac operator
zbMATH Keywords: scalar curvature
zbMATH Keywords: spin compact manifolds
Wikidata QID: Q115337659
MaRDI profile type: Publication
cites work: The classification of simply connected manifolds of positive scalar curvature
cites work: Positive scalar curvature and the Dirac operator on complete Riemannian manifolds
cites work: Sharp estimates and the Dirac operator
cites work: Q3995493
full work available at URL: s0926-2245(96)00025-3
OpenAlex ID: W2002061301
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description: scientific article; zbMATH DE number 937463