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Classification of complete gradient conformal mean curvature solitons
- Kang, Younghoon;
- Shin, Jinwoo
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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 flow; Yamabe problem; Manifolds with boundary; YAMABE FLOW; CONVERGENCE; MANIFOLDS
- 제목
- Classification of complete gradient conformal mean curvature solitons
- 저자
- Kang, Younghoon; Shin, Jinwoo
- 발행일
- 2024-11
- 유형
- Article
- 권
- 539
- 호
- 2