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 the literature, as the transverse Ricci flow, the Sasaki–Ricci flow and the SasakiJ-flow and motivate the study of other evolution equations. We also introduce a transverse version of the Kähler–Ricci flow adapting some classical results to the foliated case.
|Titolo:||Second-Order Geometric Flows on Foliated Manifolds|
|Data di pubblicazione:||2017|
|Appare nelle tipologie:||1.1 Articolo in rivista|