Classification of rotational surfaces in Euclidean space satisfying a linear relation between their principal curvatures
Sign Up to like & getrecommendations! Published in 2020 at "Mathematische Nachrichten"
DOI: 10.1002/mana.201800235
Abstract: We classify all rotational surfaces in Euclidean space whose principal curvatures κ1 and κ2 satisfy the linear relation κ1=aκ2+b , where a and b are two constants. As a consequence of this classification, we find… read more here.
Keywords: linear relation; principal curvatures; euclidean space; surfaces euclidean ... See more keywords
Weighted Korn and Poincaré-Korn Inequalities in the Euclidean Space and Associated Operators
Sign Up to like & getrecommendations! Published in 2022 at "Archive for Rational Mechanics and Analysis"
DOI: 10.1007/s00205-021-01741-5
Abstract: We prove functional inequalities on vector fields on the Euclidean space when it is equipped with a bounded measure that satisfies a Poincare inequality, and study associated self-adjoint operators. The weighted Korn inequality compares the… read more here.
Keywords: weighted korn; mechanics; euclidean space; korn inequalities ... See more keywords
Spherical Embeddings of Symmetric Association Schemes in 3-Dimensional Euclidean Space
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DOI: 10.1007/s00373-019-02075-6
Abstract: We classify the symmetric association schemes with faithful spherical embedding in 3-dimensional Euclidean space. Our result is based on previous research on primitive association schemes with $$m_1 = 3$$ m 1 = 3 . read more here.
Keywords: symmetric association; euclidean space; dimensional euclidean; association ... See more keywords
Subsets of Euclidean Space with Nearly Maximal Gowers Norms
Sign Up to like & getrecommendations! Published in 2019 at "Acta Mathematica Sinica, English Series"
DOI: 10.1007/s10114-019-8411-8
Abstract: A set E ⊂ ℝd whose indicator function 1E has maximal Gowers norm, among all sets of equal measure, is an ellipsoid up to Lebesgue null sets. If 1E has nearly maximal Gowers norm then… read more here.
Keywords: subsets euclidean; euclidean space; maximal gowers; gowers norms ... See more keywords
On the Banach Manifold of Simple Domains in the Euclidean Space and Applications to Free Boundary Problems
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DOI: 10.1007/s10440-019-00271-3
Abstract: In this paper we study the Banach manifold made up of simple C m + μ $C^{m+\mu }$ -domains in the Euclidean space R n $\mathbb{R}^{n}$ . This manifold is merely a topological or a… read more here.
Keywords: banach manifold; euclidean space; simple domains; free boundary ... See more keywords
The r-mean curvature and rigidity of compact hypersurfaces in the Euclidean space
Sign Up to like & getrecommendations! Published in 2021 at "Annals of Global Analysis and Geometry"
DOI: 10.1007/s10455-021-09803-3
Abstract: In this paper, we characterize round spheres in the Euclidean space under some suitable conditions on the r-mean curvature. read more here.
Keywords: curvature rigidity; mean curvature; euclidean space; rigidity compact ... See more keywords
Kernel-Based Subspace Learning on Riemannian Manifolds for Visual Recognition
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DOI: 10.1007/s11063-019-10083-z
Abstract: Covariance matrices have attracted increasing attention for data representation in many computer vision tasks. The nonsingular covariance matrices are regarded as points on Riemannian manifolds rather than Euclidean space. A common technique for classification on… read more here.
Keywords: rkhs; space; kernel based; euclidean space ... See more keywords
Embedding compact surfaces into the 3-dimensional Euclidean space with maximum symmetry
Sign Up to like & getrecommendations! Published in 2017 at "Science China Mathematics"
DOI: 10.1007/s11425-017-9078-0
Abstract: The symmetries of surfaces which can be embedded into the symmetries of the 3-dimensional Euclidean space ℝ3 are easier to feel by human’s intuition. We give the maximum order of finite group actions on (ℝ3,… read more here.
Keywords: dimensional euclidean; euclidean space; embedding compact; surfaces dimensional ... See more keywords
An integral formula for a class of biharmonic maps from Euclidean 3-space
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DOI: 10.1016/j.difgeo.2018.07.001
Abstract: Abstract We classify biharmonic semi-conformal maps from domains of Euclidean 3-space whose fibres are arcs of circles in terms of holomorphic data. The geometry behind this classification enables us to give an integral formula which… read more here.
Keywords: biharmonic maps; geometry; integral formula; euclidean space ... See more keywords
On cohomogeneity one linear actions on pseudo-Euclidean space Rp,q
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DOI: 10.1016/j.difgeo.2019.101584
Abstract: Abstract The aim of this paper is to study cohomogeneity one isometric linear actions on the p + q -dimensional pseudo-Euclidean space R p , q . It is proved that the natural isometric action… read more here.
Keywords: cohomogeneity one; cohomogeneity; euclidean space; pseudo euclidean ... See more keywords
Biharmonic δ(r)-ideal hypersurfaces in Euclidean spaces are minimal
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DOI: 10.1016/j.difgeo.2020.101665
Abstract: Abstract A submanifold M n of a Euclidean space E N is called biharmonic if Δ H → = 0 , where H → is the mean curvature vector of M n . A well… read more here.
Keywords: euclidean spaces; euclidean space; biharmonic ideal; ideal hypersurfaces ... See more keywords