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arXiv · 1505.03258

Second order geometric flows on foliated manifolds

Lucio Bedulli·Weiyong He·Luigi Vezzoni
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Abstract

We prove a general result about the short time existence and uniqueness of second order geometric flows transverse to a Riemannian foliation on a compact manifold. Our result includes some flows already existing in literature, as the transverse Ricci flow, the Sasaki-Ricci flow and the Sasaki J-flow and motivates the study of other evolution equations. We also introduce a transverse version of the Kaehler-Ricci flow adapting some classical results to the foliated case.

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Lucio Bedulli, Weiyong He, Luigi Vezzoni. 2015-05-13. Second order geometric flows on foliated manifolds. https://doi.org/10.1007/s12220-017-9839-7

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