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A vanishing theorem in twisted de Rham cohomology

Part of: Global differential geometry General theory of differentiable manifolds

Published online by Cambridge University Press:  20 March 2013

Ana Cristina Ferreira
Ana Cristina Ferreira*
Affiliation:
Centro de Matemática, Universidade do Minho, Campus de Gualtar, 4710057 Braga, Portugal ([email protected])
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Abstract

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We prove a vanishing theorem for the twisted de Rham cohomology of a compact manifold.

Keywords

twisted de Rham cohomologyconnections with skew torsionDirac operators

MSC classification

Secondary: 53C21: Methods of Riemannian geometry, including PDE methods; curvature restrictions 58A14: Hodge theory
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 56 , Issue 2 , June 2013 , pp. 501 - 508
Copyright
Copyright © Edinburgh Mathematical Society 2013

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