Classification of complete gradient conformal mean curvature solitons
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초록

A Riemannian manifold ( M, partial derivative M, g, f ) is called a gradient conformal mean curvature soliton if a smooth function f satisfies where del 2 f is the Hessian of f with respect to the metric induced by g on partial derivative M and nu g is the outward unit normal vector with respect to metric g . In this study, we classified nontrivial complete gradient conformal mean curvature solitons. (c) 2024 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies.

키워드

Conformal flowYamabe problemManifolds with boundaryYAMABE FLOWCONVERGENCEMANIFOLDS
제목
Classification of complete gradient conformal mean curvature solitons
저자
Kang, YounghoonShin, Jinwoo
DOI
10.1016/j.jmaa.2024.128568
발행일
2024-11
유형
Article
저널명
Journal of Mathematical Analysis and Applications
539
2