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We investigate hypersurfaces M in semi-Riemannian spaces of constant curvature satisfying some Ricci-type equations and for which the tensor H³ is a linear combination of the tensor H², the second fundamental tensor H of M and the metric tensor g of M.

Hypersurfaces of C2-like Finsler spaces.

Singh, U.P., Gupta, B.N. (1985)

Publications de l'Institut Mathématique. Nouvelle Série

Hypersurfaces of constant curvature in hyperbolic space II

Bo Guan, Joel Spruck (2010)

Journal of the European Mathematical Society

This is the second of a series of papers in which we investigate the problem of finding, in hyperbolic space, complete hypersurfaces of constant curvature with a prescribed asymptotic boundary at infinity for a general class of curvature functions. In this paper we focus on graphs over a domain with nonnegative mean curvature.

Hypersurfaces of Einstein manifolds

Norihito Koiso (1981)

Annales scientifiques de l'École Normale Supérieure

Hypersurfaces of prescribed mean curvature enclosing a given body.

Martin Fuchs (1991)

Manuscripta mathematica

Hypersurfaces with almost complex structures in the real affine space

Mayuko Kon (2007)

Colloquium Mathematicae

We study affine hypersurface immersions $f : M \to ℝ^{2 n + 1}$ , where M is an almost complex n-dimensional manifold. The main purpose is to give a condition for (M,J) to be a special Kähler manifold with respect to the Levi-Civita connection of an affine fundamental form.

Hypersurfaces with constant curvature in $ℝ^{n + 1}$

J. A. Gálvez, A. Martínez (2002)

Banach Center Publications

We give some optimal estimates of the height, curvature and volume of compact hypersurfaces in $ℝ^{n + 1}$ with constant curvature bounding a planar closed (n-1)-submanifold.

Hypersurfaces with constant inner curvature of the second fundamental form, and the non-rigidity of the sphere.

Wolfgang Kühnel, Markus Becker (1996)

Mathematische Zeitschrift

Hypersurfaces with constant $k$ -th mean curvature in a Lorentzian space form

Shichang Shu (2010)

Archivum Mathematicum

In this paper, we study $n (n \geq 3)$ -dimensional complete connected and oriented space-like hypersurfaces $M^{n}$ in an (n+1)-dimensional Lorentzian space form $M_{1}^{n + 1} (c)$ with non-zero constant $k$ -th $(k < n)$ mean curvature and two distinct principal curvatures $λ$ and $μ$ . We give some characterizations of Riemannian product $H^{m} (c_{1}) \times M^{n - m} (c_{2})$ and show that the Riemannian product $H^{m} (c_{1}) \times M^{n - m} (c_{2})$ is the only complete connected and oriented space-like hypersurface in $M_{1}^{n + 1} (c)$ with constant $k$ -th mean curvature and two distinct principal curvatures, if the multiplicities of...

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Hyper-Lie Poisson structures

Hyperpolar actions and k-flat homogeneous spaces.

Hypersurface geometry and Hamiltonian systems of hydrodynamic type.

Hypersurfaces in 4-dimensional Euclidean space

Hypersurfaces in a conformally flat space with curvature collineation.

Hypersurfaces in an almost paracontact manifold

Hypersurfaces in spaces of constant curvature satisfying some Ricci-type equations

Hypersurfaces of C2-like Finsler spaces.

Hypersurfaces of constant curvature in hyperbolic space II

Hypersurfaces of Einstein manifolds

Hypersurfaces of prescribed mean curvature enclosing a given body.

Hypersurfaces with almost complex structures in the real affine space

Hypersurfaces with constant curvature in $ℝ^{n + 1}$

Hypersurfaces with constant inner curvature of the second fundamental form, and the non-rigidity of the sphere.

Hypersurfaces with constant $k$ -th mean curvature in a Lorentzian space form

Hypersurfaces with Constant Mean Curvature and Prescribed Area.

Hypersurfaces with Constant Scalar Curvature.

Hypersurfaces with constant scalar curvature in a hyperbolic space form.

Hypersurfaces with constant scalar curvature in space forms.

Hypersurfaces with constant scalar or mean curvature in a unit sphere.

Currently displaying 261 – 280 of 283