Results 11 to 20 of about 86 (86)
Sym-Bobenko formula for minimal surfaces in Heisenberg space∗ [PDF]
, 2013 We give an immersion formula, the Sym-Bobenko formula, for min-imal surfaces in the 3-dimensional Heisenberg space. Such a formula can be used to give a generalized Weierstrass type representation and construct explicit examples of minimal surfaces ...
Cartier, Sébastien, Sébastien Cartier
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Constant mean curvature hypersurfaces with constant δ‐invariant
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 67, Page 4205-4216, 2003., 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.
Bang-Yen Chen, Oscar J. Garay
wiley +1 more source
Super parallel immersions in Euclidean space
International Journal of Mathematics and Mathematical Sciences, Volume 29, Issue 1, Page 1-5, 2002., 2002 Two submanifolds of Euclidean n‐space En are called super parallel if the affine normal spaces are homothetic at the corresponding points. Characterizations are given for the action of conformal transformation on super parallel mates. Our notion is generalized to super transnormal submanifolds and its relation with super self‐parallel submanifolds and ...
Tarek Fathy Mersal +1 more
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First eigenvalue of submanifolds in Euclidean space
International Journal of Mathematics and Mathematical Sciences, Volume 24, Issue 1, Page 43-48, 2000., 2000 We give some estimates of the first eigenvalue of the Laplacian for compact and non‐compact submanifold immersed in the Euclidean space by using the square length of the second fundamental form of the submanifold merely. Then some spherical theorems and a nonimmersibility theorem of Chern and Kuiper type can be obtained.
Kairen Cai
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Quantization of curvature for compact surfaces in Sn [PDF]
, 2003 . For minimal surfaces in spheres, there is a well known conjecture about the quantization of intrinsic curvature which has been solved only in special cases so far. We recall an intrinsic and an extrinsic version for the known results and extend them to
Simon, Udo +3 more
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Constant mean curvature surfaces [PDF]
, 2016 In this article we survey recent developments in the theory of constant mean cur- vature surfaces in homogeneous 3-manifolds, as well as some related aspects on ex- istence and descriptive results for H -laminations and CMC foliations of Riemannian n ...
Tinaglia, Giuseppe; id_orcid +2 more
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Unique isometric immersion into hyperbolic space
, 1992 International Journal of Mathematics and Mathematical Sciences, Volume 16, Issue 4, Page 725-732, 1993.
M. Beltagy
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On constant higher order mean curvature hypersurfaces in Hn×R ${\mathbb{H}}^{n}{\times}\mathbb{R}$
Advanced Nonlinear StudiesWe classify hypersurfaces with rotational symmetry and positive constant r-th mean curvature in Hn×R ${\mathbb{H}}^{n}{\times}\mathbb{R}$ . Specific constant higher order mean curvature hypersurfaces invariant under hyperbolic translation are also ...
Nelli Barbara +2 more
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Lagrangian geometry of the Gauss images of isoparametric hypersurfaces in spheres
Complex Manifolds, 2019 The Gauss images of isoparametric hypersufaces of the standard sphere Sn+1 provide a rich class of compact minimal Lagrangian submanifolds embedded in the complex hyperquadric Qn(ℂ).
Miyaoka Reiko, Ohnita Yoshihiro
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Coding of hypersurfaces in Euclidean spaces by a constant vector
Open MathematicsAn nn-dimensional Riemannian manifold (Nn,g)({N}^{n},g) isometrically immersed in Euclidean space Rn+1{R}^{n+1} with unit normal ζ\zeta and shape operator SS, for a fixed constant unit vector a→\overrightarrow{{\bf{a}}} in Rn+1{R}^{n+1} induces a vector
Deshmukh Sharief, Guediri Mohammed
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