Abstract
AbstractDefining a function on the set of all Riemannian metrics associated to a contact form on a compact manifold by taking the integral of the Ricci curvature in the direction of the characteristic vector field, it is shown that on a compact regular contact manifold the only critical points of this function are the metrics for which the characteristic vector field generates a group of isometrics.
Publisher
Cambridge University Press (CUP)
Subject
General Mathematics,Statistics and Probability
Reference7 articles.
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5. Contact manifolds with characteristic vector field annihilated by the curvature;Blair;Bull. Inst. Math Acad. Sinica,1981
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