In this paper, we construct an immersed, non-embedded S n \documentclass[12pt]{minimal}
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The purpose of this paper is to study complete λ λ-surfaces in Euclidean space R^ 3 R 3. A
complete classification for 2-dimensional complete λ λ-surfaces in Euclidean space\mathbb …

We examine the solutions of 1-dimensional λ λ-self shrinkers and show that for certain λ< 0
λ< 0, there are some closed, embedded solutions other than circles. For negative λ λ near …

Let $\Omega\subset\Bbb {R}^{n+ 1} $ have minimal Gaussian surface area among all sets
satisfying $\Omega=-\Omega $ with fixed Gaussian volume. Let $ A= A_x $ be the second …

In this paper, we firstly verify that if M n is an n-dimensional complete self-shrinker with
polynomial volume growth in ℝ n+ 1, and if the squared norm of the second fundamental …

In this article, we study properly immersed complete noncompact submanifolds in a
complete shrinking gradient Ricci soliton with weighted mean curvature vector bounded in …

A note on rigidity theorem of λ-hypersurfaces Page 1 Proceedings of the Royal Society of
Edinburgh, 149, 1595–1601, 2019 DOI:10.1017/prm.2018.116 A note on rigidity theorem of …

In this article, we study hypersurfaces Σ ⊂ R^ n+ 1 Σ⊂ R n+ 1 with constant weighted mean
curvature, also known as λ λ-hypersurfaces. Recently, Wei-Peng proved a rigidity theorem …

In this paper, we prove a classification for complete embedded constant weighted mean
curvature hypersurfaces\varSigma ⊂ R^ n+ 1. Σ⊂ R n+ 1. We characterize the hyperplanes …

Chinese Annals of Mathematics, Series B Complete λ-Hypersurfaces in Euclidean Spaces
Page 1 Chin. Ann. Math. Ser. B 43(5), 2022, 877–892 DOI: 10.1007/s11401-022-0365-y …