논문KCI 등재
Almost rigidity of convex hypersurfaces via the extinction time of mean curvature flow
1
조회
0
다운로드
0
인용
0
참고문헌
키워드
주제분류수학
초록
We prove that if a compact convex hypersurface of $\mathbb{R}^{n+1}$ has almost maximal extinction time when it is evolved by the mean curvature flow, then it must be nearly round in the $C^{0}$-norm.
Abstract
We prove that if a compact convex hypersurface of $\mathbb{R}^{n+1}$ has almost maximal extinction time when it is evolved by the mean curvature flow, then it must be nearly round in the $C^{0}$-norm.
참고문헌 (7)
- Richard H. Bamler, "Almost-rigidity and the extinction time of positively curved Ricci flows", Mathematische Annalen, 369(1-2), pp.899~911 (2017), Springer Science and Business Media LLC[DOI]
- Jeff Cheeger, "Lower Bounds on Ricci Curvature and the Almost Rigidity of Warped Products", The Annals of Mathematics, 144(1), pp.189~237 (1996), JSTOR[DOI]
- Tobias H. Colding, "Shape of manifolds with positive Ricci curvature", Inventiones Mathematicae, 124(1-3), pp.175~191 (1996), Springer Science and Business Media LLC[DOI]
- Klaus Ecker, "Interior estimates for hypersurfaces moving by mean curvature", Inventiones Mathematicae, 105(1), pp.547~569 (1991), Springer Science and Business Media LLC[DOI]
- R. S. Hamilton, "Harnack estimate for the mean curvature flow", J. Differential Geom, 41(1), pp.215~226 (1995)[DOI]
- G. Huisken, "Flow by mean curvature of convex surfaces into spheres", J. Differential Geom, 20(1), pp.237~266 (1984)[DOI]
- Joel Langer, "A compactness theorem for surfaces withL p -bounded second fundamental form", Mathematische Annalen, 270(2), pp.223~234 (1985), Springer Science and Business Media LLC[DOI]
관련 논문AI추천
Expanding hypersurfaces in mean curvature-inverse mean curvature flow대한수학회 · 대한수학회보2026 · 제63권 제1호A class of shifted curvature flows for horo-convex hypersurfaces in $\mathbb{H}^{n+1}$Zhengchao Ji대한수학회 · 대한수학회보2025 · 제62권 제5호Deforming pinched hypersurfaces of the hyperbolic space by powers of the mean curvature into spheresChuanxi Wu, Guanghan Li, Shunzi Guo대한수학회 · 대한수학회지2016 · 제53권 제4호Contraction of horosphere-convex hypersurfaces by powers of the mean curvature in the hyperbolic spaceChuanxi Wu, Guanghan Li, Shunzi Guo대한수학회 · 대한수학회지2013 · 제50권 제6호Some rigidity theorems for self-shrinkers of the mean curvature flowHezi Lin대한수학회 · 대한수학회지2016 · 제53권 제4호A class of inverse curvature flows in $\mathbb{R}^{n+1}$, IIDi Wu, Jing Mao, Jin-Hua Hu, Qiang Tu대한수학회 · 대한수학회지2020 · 제57권 제5호
이 간행물의 다른 논문 (18건)
Three results on transcendental meromorphic solutions of certain nonlinear differential equationsNan Li, Lianzhong Yangpp. 795-814Integral operators from Morrey type spaces to weighted BMOA spacesXiangling Zhu, Ruishen Qianpp. 815-828Domination parameters in Mycielski graphs이재운, 권영수, 손무영pp. 829-836A study of linked star operationsSimplice Tchamna, Lokendra Paudelpp. 837-851Algebraic Ricci solitons in the Finslerian caseZaili Yan, Guocheng Jiaopp. 853-863