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arXiv · 1410.1370

Extremal K-contact metrics

Mehdi Lejmi·Markus Upmeier
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Abstract

Extending a result of He to the non-integrable case of K-contact manifolds, it is shown that transverse Hermitian scalar curvature may be interpreted as a moment map for the strict contactomorphism group. As a consequence, we may generalize the Sasaki-Futaki invariant to K-contact geometry and establish a number of elementary properties. Moreover, we prove that in dimension 5 certain deformation-theoretic results can be established also under weaker integrability conditions by exploiting the relationship between J-anti-invariant and self-dual 2-forms.

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Mehdi Lejmi, Markus Upmeier. 2014-10-06. Extremal K-contact metrics. https://arxiv.org/abs/1410.1370

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