Finite topological type of complete Finsler gradient shrinking Ricci solitons

Authors

MOHAMAD YAR AHMADI
SINA HEDAYATIAN

DOI

10.3906/mat-2004-112

Abstract

In the present work it is shown that on a Finslerian space, a forward complete gradient shrinking Ricci soliton has finite topological type, provided either the Ricci scalar is bounded above or the Ricci scalar is bounded from below and injectivity radius is bounded away from zero.

Keywords

Finsler metric, Ricci soliton, finite topological type, Ricci flow

First Page

2419

Last Page

2426

Recommended Citation

AHMADI, MOHAMAD YAR and HEDAYATIAN, SINA (2021) "Finite topological type of complete Finsler gradient shrinking Ricci solitons," Turkish Journal of Mathematics: Vol. 45: No. 6, Article 5. https://doi.org/10.3906/mat-2004-112
Available at: https://journals.tubitak.gov.tr/math/vol45/iss6/5