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k-contact manifolds

Proceedings of the Edinburgh Mathematical Society (1)

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Closed Einstein–Weyl structures on compact Sasakian and cosymplectic manifolds
Part of
- Global differential geometry
Paola Matzeu
Journal:

Proceedings of the Edinburgh Mathematical Society / Volume 54 / Issue 1 / February 2011

Published online by Cambridge University Press:

11 November 2010, pp. 149-160
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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.