Gap and rigidity theorems of λ-hypersurfaces
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-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. … 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; …
Gap and rigidity theorems of λ-hypersurfaces
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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 ... 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 ...
WebAs 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 … WebDec 2, 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 ...
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. … 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.
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 … k of c 2809WebIn 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 … k of c 2551WebCiteSeerX - Scientific documents that cite the following paper: The rigidity theorems of self shrinkers k of c 3433WebWe 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 … k of c 3660WebSince 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 … k of c 364Webexists 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 … k of c 367 newslettersWebDec 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 … k of c 3956