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Gap and rigidity theorems of λ-hypersurfaces

WebApr 28, 2024 · Complete λ-Hypersurfaces in Euclidean Spaces. Q. Cheng, G. Wei. Mathematics. Chinese Annals of Mathematics, Series B. 2024. In this paper, the authors give a survey about λ-hypersurfaces in Euclidean spaces. Especially, they focus on examples and rigidity of λ-hypersurfaces in Euclidean spaces. WebMay 19, 2014 · We study $λ$-hypersurfaces that are critical points of a Gaussian weighted area functional $\\int_Σ e^{-\\frac{ x ^2}{4}}dA$ for compact variations that preserve weighted volume. First, we prove various gap and rigidity theorems for complete $λ$-hypersurfaces in terms of the norm of the second fundamental form $ A $. Second, we …

Rigidity theorems for complete \(\lambda \)

WebMar 17, 2014 · Since n-dimensional λ-hypersurfaces in the Euclidean space ℝn+1 are critical points of the weighted area functional for the weighted volume-preserving variations, in this paper, we study the ... WebJan 1, 2016 · Cheng, Ogata and Wei [3] proved some gap and rigidity theorems for complete λ-hypersurfaces. Wang, Xu and Zhao [26] investigate the integral curvature pinching theorems for λ-hypersurfaces. ... cooling units for rooms abbr https://gioiellicelientosrl.com

Gap theorem - Wikipedia

WebIn this paper, we prove some gap theorems for complete λ hypersurfaces. Assume that the L n/ 2 -norm of a quantity concerning the trace-free second fundamental form and the … WebDec 2, 2024 · Abstract. In this paper, we prove some gap theorems for complete \lambda -hypersurfaces. Assume that the L^ {n/2} -norm of a quantity concerning the trace-free second fundamental form and the … WebAug 31, 2024 · In particular, this implies a gap theorem for self-shrinkers in … Expand. 136. Highly Influential. PDF. View 4 excerpts, references background; Save. Alert. Local Rigidity Theorems for Minimal Hypersurfaces. H. Lawson; Mathematics. 1969; 438. Highly Influential. View 3 excerpts, references background; Save. ... λ-Hypersurfaces on … cooling units abbreviation

Gap and rigidity theorems of λ -hypersurfaces - Researchain

Category:[PDF] Complete $$\lambda $$λ-hypersurfaces of weighted …

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Gap and rigidity theorems of λ-hypersurfaces

A Note on Gap Theorems for Complete $$\\lambda $$ λ

WebMar 2, 2024 · Moreover, we prove a gap theorem for smooth self-shrinkers in all dimensions. Keywords. self-shrinker second fundamental form mean curvature flow. MSC classification. ... Gap and rigidity theorems of 𝜆-hypersurfaces. Proceedings of the American Mathematical Society, Vol. 146, Issue. 10, p. 4459. CrossRef; Google Scholar;

Gap and rigidity theorems of λ-hypersurfaces

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WebMar 13, 2014 · In this paper, we introduce a special class of hypersurfaces which are called $$\lambda $$λ-hypersurfaces related to a weighted volume preserving mean curvature flow in the Euclidean space. We prove that $$\lambda $$λ-hypersurfaces are critical points of the weighted area functional for the weighted volume-preserving variations. … WebCiteSeerX - Scientific documents that cite the following paper: The rigidity theorems of self shrinkers

WebJan 18, 2024 · Gap and rigidity theorems of λ-hypersurfaces, arXiv:1405.4871v2.Google Scholar. 8 8 Le, N. Q. and Sesum, N.. Blow-up rate of the mean curvature during the … Webvariations, inthis paper, westudythe rigiditypropertiesofcomplete λ-hypersurfaces. We give a gap theorem of complete λ-hypersurfaces with polynomial area growth. By making use of the generalized maximum principle for L of λ-hypersurfaces, we prove a rigidity theorem of complete λ-hypersurfaces. 1. Introduction

WebIn this paper, we study λ-hypersurfaces from three aspects: gap and rigidity results, one-dimensional case and entire graphic case. The first main result is the following gap … WebAug 30, 2024 · We give some gap theorems of complete λ-hypersurfaces with polynomial area growth. By making use of the generalized maximum principle for Ⅎ of λ-hypersurfaces, we prove a rigidity theorem of ...

WebWe study $\lambda$-hypersurfaces that are critical points of a Gaussian weighted area functional $\int_{\Sigma} e^{-\frac{ x ^2}{4}}dA$ for compact variations that preserve …

WebDec 4, 2014 · volume-preserving variations, in this paper, we study the rigidity properties of complete λ-hypersurfaces. We give some gap theo-rems of complete λ … family safe microsoftWebAs a corollary, we obtain a gap theorem for closed $\lambda$-hypersurfaces with $\lambda\le 0.$ ... As a corollary, we obtain a gap theorem for closed $\lambda$-hypersurfaces with $\lambda\le 0.$ Skip to search form Skip to main content Skip to account menu. Semantic Scholar's Logo. Search 209,818,220 papers from all fields of … family safe moviesTitle: A Third Information-Theoretic Approach to Finite de Finetti Theorems … Title: Lie Symmetry Classification and Numerical Analysis of KdV Equation … family safe oklahomaWebApr 15, 2024 · This is a natural extension to the λ-surfaces in $$ℝ_1^3$$ of a recent interesting classification theorem by Cheng and Wei for λ-surfaces in the Euclidean space ℝ3. ... Rigidity theorems of $λ$-hypersurfaces. Q. Cheng, S. Ogata, G. Wei; ... Save. Alert. Gap and rigidity theorems of $\lambda$-hypersurfaces. Qiang Guang; … family safe monitor windows 10WebDec 4, 2014 · volume-preserving variations, in this paper, we study the rigidity properties of complete λ-hypersurfaces. We give some gap theo-rems of complete λ-hypersurfaces with polynomial area growth. By making use of the generalized maximum principle for L of λ-hypersurfaces, we prove a rigidity theorem of complete λ-hypersurfaces. 1. … cooling unit warehouse coupon codeWebSince n-dimensional λ-hypersurfaces in the Euclidean space R are critical points of the weighted area functional for the weighted volume-preserving variations, in this paper, we … family safe owassoWebWe study λ-hypersurfaces that are critical points of a Gaussian weighted area functional ∫Σe− x 24dA for compact variations that preserve weighted volume. First, we prove … family safe online