2010/09/30 by Vladimir Rovenski, Rovenski, Vladimir, Paweł Walczak +2
Engineering · Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Advanced Numerical Analysis Techniques #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #math.DG
paper · pdf · doi:10.48550/arxiv.1009.6066
18 pages, 2 figures
openalex publication_date 2010/09/30 · arxiv created 2010/12/20 · arxiv updated 2010/12/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.