Results 11 to 20 of about 48,603 (267)
Mathematics, 2022 In this paper, we study the intrinsic structures of high-dimensional data sets for analyzing their geometrical properties, where the core message of the high-dimensional data is hiding on some nonlinear manifolds.
Junhong Dong, Qiong Li, Ximin Liu
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New Bernstein Type Results in Weighted Warped Products
Journal of Mathematics, 2021 In this paper, we obtain new parametric uniqueness results for complete constant weighted mean curvature hypersurfaces under suitable geometric assumptions in weighted warped products.
Ning Zhang
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Hypersurfaces with constant scalar curvature and constant mean curvature
Annals of Global Analysis and Geometry, 1995 According to the authors' abstract, ``non-spherical hypersurfaces in \(E^ 4\) with non-zero constant mean curvature and constant scalar curvature are the only hypersurfaces possessing the following property: Its position vector can be written as a sum of two non-constant maps, which are eigenmaps of the Laplacian operator with corresponding eigenvalues
Hasanis, T., Vlachos, T.
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Examples of surfaces of constant mean curvature
Дифференциальная геометрия многообразий фигур, 2019 A surface in E3 is called parallel to the surface M if it consists of the ends of constant length segments, laid on the normals to the surfaces at points of this surface. The tangent planes at the corresponding points will be parallel.
M. A. Cheshkova
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CONSTANT MEAN CURVATURE HYPERSURFACES IN SPHERES [PDF]
Glasgow Mathematical Journal, 2011 AbstractIn this paper, we first summarise the progress for the famous Chern conjecture, and then we consider n-dimensional closed hypersurfaces with constant mean curvature H in the unit sphere n+1 with n ≤ 8 and generalise the result of Cheng et al. (Q. M. Cheng, Y. J. He and H. Z.
Deng, Qin-Tao, Gu, Hui-Ling, Su, Yan-Hui
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Bernstein-type theorems in hypersurfaces with constant mean curvature
Anais da Academia Brasileira de Ciências, 2000 By using the nodal domains of some natural function arising in the study of hypersurfaces with constant mean curvature we obtain some Bernstein-type theorems.
MANFREDO P. DO CARMO, DETANG ZHOU
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Parabolic Constant Mean Curvature Spacelike Surfaces [PDF]
Proceedings of the American Mathematical Society, 1994 In this paper, we classify Lorentzian isometry classes of parabolic constant mean curvature cuts by conformal classes of nonzero holomorphic quadratic differentials on C \mathbb {C} .
Wan, Tom Yau-Heng, Au, Thomas Kwok-Keung
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Hypersurfaces with constant mean curvature and two principal curvatures in 
n+1 [PDF]
Anais da Academia Brasileira de Ciências, 2004 In this paper we consider compact oriented hypersurfaces M with constant mean curvature and two principal curvatures immersed in the Euclidean sphere.
Luis J. Alías +2 more
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Constant mean curvature hypersurfaces with constant δ‐invariant [PDF]
International Journal of Mathematics and Mathematical Sciences, 2003 We completely classify constant mean curvature hypersurfaces (CMC) with constant δ‐invariant in the unit 4‐sphere S4 and in the Euclidean 4‐space 𝔼4.
Chen, Bang-Yen +1 more
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Constant mean curvature surfaces with circular boundary in R³
Anais da Academia Brasileira de Ciências, 2006 In this work we deal with surfaces immersed in R³ with constant mean curvature and circular boundary. We improve some global estimates for area and volume of such immersions obtained by other authors.
Pedro A. Hinojosa
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