Rigidity of Complete Gradient Shrinkers with Pointwise Pinching Riemannian Curvature

Yawei Chu, Dehe Li and Jundong Zhou

Advances in Mathematical Physics, 2021, vol. 2021, 1-8

Abstract:

Let be a complete gradient shrinking Ricci soliton of dimension . In this paper, we study the rigidity of with pointwise pinching curvature and obtain some rigidity results. In particular, we prove that every - dimensional gradient shrinking Ricci soliton is isometric to or a finite quotient of under some pointwise pinching curvature condition. The arguments mainly rely on algebraic curvature estimates and several analysis tools on , such as the property of - parabolic and a Liouville type theorem.

Date: 2021
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/AMP/2021/4907963.pdf (application/pdf)
http://downloads.hindawi.com/journals/AMP/2021/4907963.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlamp:4907963

DOI: 10.1155/2021/4907963

Access Statistics for this article

More articles in Advances in Mathematical Physics from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().