Results 11 to 20 of about 1,512 (69)
On the moduli space of superminimal surfaces in spheres
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 44, Page 2803-2827, 2003., 2003 Using a birational correspondence between the twistor space of S2n and projective space, we describe, up to birational equivalence, the moduli space of superminimal surfaces in S2n of degree d as curves of degree d in projective space satisfying a certain differential system.
Luis Fernández
wiley +1 more source
Open Mathematics, 2020 In this paper, we discuss the monotonicity of the first nonzero eigenvalue of the Laplace operator and the p-Laplace operator under a forced mean curvature flow (MCF).
Qi Xuesen, Liu Ximin
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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
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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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Parallel Mean Curvature Surfaces in Symmetric Spaces
, 2011 We present a reduction of codimension theorem for surfaces with parallel mean curvature in symmetric ...
H. Alencar +4 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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On the umbilic set of immersed surfaces in three-dimensional space forms
, 2019 We prove that under some assumptions on the mean curvature the set of umbilical points of an immersed surface in a $3$-dimensional space form has positive measure. In case of an immersed sphere our result can be seen as a generalization of the celebrated
Catino, Giovanni +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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