Gap and rigidity theorems of λ-hypersurfaces

Author: yxxe

August undefined, 2024

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. … 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 …

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

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 ... WebApr 12, 2024 · In this article, we study hypersurfaces $$\\Sigma \\subset {\\mathbb {R}}^{n+1}$$ Σ ⊂ R n + 1 with constant weighted mean curvature, also known as … craftsman 20-inch electric hedge trimmer

[1405.4871v2] Gap and rigidity theorems of $λ$-hypersurfaces

Title: A Third Information-Theoretic Approach to Finite de Finetti Theorems … Title: Lie Symmetry Classification and Numerical Analysis of KdV Equation … Webexists a constant λ such that X,N +H = λ. (1.2) An immersed hypersurface X: M → Rn+1 is called a λ-hypersurface if the equation (1.2) is satisﬁed. The concept of λ … 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 craftsman 20 inch push mower

$Gap and rigidity theorems of $\lambda$-hypersurfaces - NASA/ADS$

CiteSeerX — Citation Query The rigidity theorems of self shrinkers

WebSince 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 … WebCheng, Ogata and Wei [3] proved some gap and rigidity theorems for complete λ-hypersurfaces. Wang, Xu and Zhao [26] investi-gate the integral curvature pinching theorems for λ-hypersurfaces. See [6,13,24], etc. for more results on the rigidity of λ-hypersurfaces. In this paper, we study the integral curvature pinching theorems for … divinity\u0027s yyWebIn 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 … craftsman 20 inch snow blower

"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 … " - Gap and rigidity theorems of λ-hypersurfaces

Gap and rigidity theorems of λ-hypersurfaces

Volume Estimates and Classification Theorem for ... - Semantic …

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. ...

Did you know?

WebMay 19, 2014 · In this paper, we study λ-hypersurfaces from three asp ects: gap and rigidity results, one- dimensional case and entire graphic case. The ﬁrst main result is … WebDec 7, 2024 · Gap and rigidity theorems of $\lambda$-hypersurfaces. Qiang Guang; Mathematics. 2014; ... In this paper, we introduce a special class of hypersurfaces which are called λ hypersurfaces related to a weighted volume preserving mean curvature ﬂow in the Euclidean space.

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 … 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;

WebWe study λ -hypersurfaces that are critical points of a Gaussian weighted area functional ∫ Σ e − 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 show that in one dimension, the only … WebMay 16, 2014 · Published 16 May 2014. Mathematics. Bulletin of The Australian Mathematical Society. We give a new and simple proof of a result of Ding and Xin, which states that any smooth complete self-shrinker in with the second fundamental form of constant length must be a generalised cylinder for some . Moreover, we prove a gap …

WebApr 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; …

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 … craftsman 20 inch gas chainsawWebApr 28, 2024 · Cheng, Ogata and Wei [3] proved some gap and rigidity theorems for complete λ-hypersurfaces. Wang, Xu and Zhao [26] investigate the integral curvature … craftsman 20 in hedge trimmerWebJan 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 … craftsman 20 inch snowblowerWebCiteSeerX - Scientific documents that cite the following paper: The rigidity theorems of self shrinkers divinity\\u0027s zWebMay 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 … craftsman 20 inch hedge trimmer partsWebWe 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 … craftsman 20 lawn mower bladeWebAug 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 ... divinity\\u0027s zw