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Displaying 341 – 360 of 608

On real Kähler Euclidean submanifolds with non-negative Ricci curvature

Luis A. Florit, Wing San Hui, F. Zheng (2005)

Journal of the European Mathematical Society

We show that any real Kähler Euclidean submanifold $f : M^{2 n} \to ℝ^{2 n + p}$ with either non-negative Ricci curvature or non-negative holomorphic sectional curvature has index of relative nullity greater than or equal to $2 n - 2 p$ . Moreover, if equality holds everywhere, then the submanifold must be a product of Euclidean hypersurfaces almost everywhere, and the splitting is global provided that $M^{2 n}$ is complete. In particular, we conclude that the only real Kähler submanifolds $M^{2 n}$ in $ℝ^{3 n}$ that have either positive Ricci curvature or...

On related vector fields of capillary surfaces.

Oezok, Afet K. (1981)

International Journal of Mathematics and Mathematical Sciences

On Ricci curvature of totally real submanifolds in a quaternion projective space

Ximin Liu (2002)

Archivum Mathematicum

Let $M^{n}$ be a Riemannian $n$ -manifold. Denote by $S (p)$ and $\bar{Ric} (p)$ the Ricci tensor and the maximum Ricci curvature on $M^{n}$ , respectively. In this paper we prove that every totally real submanifolds of a quaternion projective space $Q P^{m} (c)$ satisfies $S \leq ((n - 1) c + \frac{n^{2}}{4} H^{2}) g$ , where $H^{2}$ and $g$ are the square mean curvature function and metric tensor on $M^{n}$ , respectively. The equality holds identically if and only if either $M^{n}$ is totally geodesic submanifold or $n = 2$ and $M^{n}$ is totally umbilical submanifold. Also we show that if a Lagrangian submanifold of...

On semi-invariant submanifolds of a nearly Kenmotsu manifold with the canonical semi-symmetric semi-metric connection

Mobin Ahmad (2010)

Matematički Vesnik

On semi-invariant submanifolds of $L P$ -cosymplectic manifolds.

Tripathi, Mukut Mani (2001)

Bulletin of the Malaysian Mathematical Sciences Society. Second Series

On six-dimensional $G_{1}$ -submanifolds of Cayley algebra

Mihail Banaru (2001)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

On slant submanifolds of $N (k)$ -contact metric manifolds

Avik De (2013)

Matematički Vesnik

On some condition for a submanifold of Euclidean space to be a sphere

Andrzej Derdziński (1977)

Annales Polonici Mathematici

On some generalized Einstein metric conditions on hypersurfaces in semi-Riemannian space forms

Ryszard Deszcz, Małgorzata Głogowska, Marian Hotloś, Leopold Verstraelen (2003)

Colloquium Mathematicae

Solutions of the P. J. Ryan problem as well as investigations of curvature properties of Cartan hypersurfaces and Ricci-pseudosymmetric hypersurfaces lead to curvature identities holding on every hypersurface M isometrically immersed in a semi-Riemannian space form. These identities, under some assumptions, give rises to new generalized Einstein metric conditions on M. We investigate hypersurfaces satisfying such curvature conditions.

On Spacelike Hypersurfaces with Constant Mean Curvature in the de Sitter Space.

Kazuo Akutagawa (1987)

Mathematische Zeitschrift

On submanifolds and quotients of Poisson and Jacobi manifolds

Charles-Michel Marle (2000)

Banach Center Publications

We obtain conditions under which a submanifold of a Poisson manifold has an induced Poisson structure, which encompass both the Poisson submanifolds of A. Weinstein [21] and the Poisson structures on the phase space of a mechanical system with kinematic constraints of Van der Schaft and Maschke [20]. Generalizations of these results for submanifolds of a Jacobi manifold are briefly sketched.

Currently displaying 341 – 360 of 608

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Displaying 341 – 360 of 608

On real Kähler Euclidean submanifolds with non-negative Ricci curvature

On related vector fields of capillary surfaces.

On Ricci curvature of totally real submanifolds in a quaternion projective space

On semi-invariant submanifolds of a nearly Kenmotsu manifold with the canonical semi-symmetric semi-metric connection

On semi-invariant submanifolds of $L P$ -cosymplectic manifolds.

On six-dimensional $G_{1}$ -submanifolds of Cayley algebra

On slant submanifolds of $N (k)$ -contact metric manifolds

On some condition for a submanifold of Euclidean space to be a sphere

On some generalized Einstein metric conditions on hypersurfaces in semi-Riemannian space forms

On Spacelike Hypersurfaces with Constant Mean Curvature in the de Sitter Space.

On submanifolds and quotients of Poisson and Jacobi manifolds

On submanifolds of codimension 2 immersed in a Hsu--quarternion manifold.

On surfaces with constant mean curvature

On Symmetrie Submanifolds of Spaces of Constant Curvature.

On the Chen character of $δ (2)$ –ideal submanifolds

On the Chern-type problem in a complex projective space.

On the Chern-type problem in Kähler geometry.

On the classification of totally umbilical CR-submanifolds of a Kähler manifold.

On the completeness of flat surfaces in $S^{3}$

On the Components of the Push-out Space with Certain Indices

Currently displaying 341 – 360 of 608