Work

Gap Theorems for Compact Quasi Sasaki–Ricci Solitons

Year: 2024

Type: article

Abstract: Gradient quasi Sasaki–Ricci solitons are generalization of gradient Sasaki–Ricci solitons and Sasaki–Einstein manifolds. The main focus of this paper is to establish two gap results for the transverse Ricci curvature $${\rm Ric}^{T}$$ and the transverse scalar curvature $${\mathscr {S}}^{T}$$ , based on which we can derive necessary and sufficient conditions for gradient quasi Sasaki–Ricci solitons to be Sasaki–Einstein. Our results generalize some recent works on this direction.

Source: Journal of Nonlinear Mathematical Physics

DOI: 10.1007/s44198-024-00227-8

Authors: Xiaosheng Li, Fanqi Zeng

Institution: Xinyang Normal University

Language: English

Topic: Geometry and complex manifolds

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $1,390