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Closed Einstein–Weyl structures on compact Sasakian and cosymplectic manifolds

Part of: Global differential geometry

Published online by Cambridge University Press:  11 November 2010

Paola Matzeu
Paola Matzeu
Affiliation:
Dipartimento di Matematica e Informatica, Università degli Studi di Cagliari, Viale Merello 92, 09124 Cagliari, Italy (matzeu@unica.it)
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Abstract

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We study closed Einstein–Weyl structures on compact K-contact, Sasakian and cosymplectic manifolds. In particular we prove that compact Sasakian and cosymplectic manifolds endowed with a closed Einstein–Weyl structure are η-Einstein.

Keywords

K-contact manifoldsSasakian manifoldscosymplectic manifoldsEinstein–Weyl structures

MSC classification

Secondary: 53C15: General geometric structures on manifolds (almost complex, almost product structures, etc.) 53C25: Special Riemannian manifolds (Einstein, Sasakian, etc.)
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 54 , Issue 1 , February 2011 , pp. 149 - 160
Copyright
Copyright © Edinburgh Mathematical Society 2010

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