Complete Ricci solitons on Finsler manifolds
- 22 Downloads
The geometric flow theory and its applications turned into one of the most intensively developing branches of modern geometry. Here, a brief introduction to Finslerian Ricci flow and their self-similar solutions known as Ricci solitons are given and some recent results are presented. They are a generalization of Einstein metrics and are previously developed by the present authors for Finsler manifolds. In the present work, it is shown that a complete shrinking Ricci soliton Finsler manifold has a finite fundamental group.
Keywordsquasi-Einstein shrinking Finsler metric Ricci soliton Ricci flow
Unable to display preview. Download preview PDF.
The second author thanks School of Mathematics, Institute for Research in Fundamental Sciences (IPM), Tehran, Iran for the support.