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
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