Work

Complete quasi-Yamabe gradient solitons with bounded scalar curvature

Year: 2025

Type: preprint

Abstract: In this paper, we classify complete, nontrivial shrinking and steady quasi-Yamabe gradient solitons whose scalar curvature is bounded below by the soliton constant. We also classify complete, nontrivial expanding and steady quasi-Yamabe gradient solitons whose scalar curvature is bounded above by the soliton constant.

Source: arXiv (Cornell University)

Author: Maeta, Shun

Language: English

Topic: Geometric Analysis and Curvature Flows

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: Japan Society for the Promotion of Science

Award: Study on the classification of Yamabe solitons and its applications

OpenAlex ID: W6979245012

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