Symmetries and Conservation Laws for the 2D Ricci Flow Model

2011/08/27 by Rodica Cimpoiasu, Cimpoiasu, Rodica
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #FOS: Physical sciences #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Mathematical Physics (math-ph) #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.1108.5446

10 pages

arxiv created 2011/08/27 · openalex publication_date 2011/08/27 · arxiv updated 2011/08/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The paper aims to study the connection between symmetries and conservation laws for the 2D Ricci flow model. The procedure starts by obtaining a set of multipliers which generates conservation laws. Then, using a general relation which connects symmetries and conservation laws for whatever dynamical system, one determines symmetries related to a chosen multiplier. On this basis, new similarity solutions of the model, not yet discussed in literature, are highlighted.

Related

• Symmetries, Integrability and Exact Solutions for Nonlinear Systems
• On the relationship between the invariance and conservation laws of differential equations
• Sub-symmetries II. Sub-symmetries and Conservation Laws
• On the symmetry group for systems of conservation laws
• Symmetries of Ricci Flows