2006/09/30 by Sergiu I. Vacaru, SERGIU I. VACARU, Mihai Visinescu +1
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Connection (principal bundle) #Constant (computer programming) #Flow (mathematics) #Geometric Analysis and Curvature Flows #Homotopy and Cohomology in Algebraic Topology #Limit (mathematics) #Nonholonomic system #Nonlinear system #Ricci flow #Torsion (gastropod) #gr-qc #hep-th #math-ph #math.DG #math.MP
paper · pdf · doi:10.1142/s0217751x07035045
published as Int.J.Mod.Phys.A22:1135-1160,2007 · latex2e, final variant to be published in IJMPA
arxiv created 2007/02/02 · openalex publication_date 2007/03/10 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
In this work we construct and analyze exact solutions describing Ricci flows and nonholonomic deformations of four-dimensional (4D) Taub-NUT space–times. It is outlined a new geometric technique of constructing Ricci flow solutions. Some conceptual issues on space–times provided with generic off-diagonal metrics and associated nonlinear connection structures are analyzed. The limit from gravity/Ricci flow models with nontrivial torsion to configurations with the Levi-Civita connection is allowed in some specific physical circumstances by constraining the class of integral varieties for the Einstein and Ricci flow equations.