Extrinsic geometric flows on foliated manifolds, II

Details Extrinsic geometric flows on foliated manifolds, II Extrinsic geometric flows on foliated manifolds, II

2010-09-30

arxiv.org/abs/1009.6066v2

Mathematics

Differential Geometry

18 pages, 2 figures

Scientific paper

Extrinsic Geometric Flow (EGF) for a codimension-one foliation has been recently introduced by authors as deformations of Riemannian metrics subject to quantities expressed in terms of its second fundamental form. In the paper we introduce soliton solutions to EGF and study their geometry for totally umbilical foliations, foliations on surfaces, and when the EGF is produced by the extrinsic Ricci tensor.

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