搜索结果: 1-15 共查到“几何学 submanifolds”相关记录15条 . 查询时间(0.498 秒)
f-Eikonal helix submanifolds and f-Eikonal helix curves
Helix submanifold Eikonal function Helix line
2012/6/15
Let M{\subset}\mathbb{R}^{n} be a Riemannian helix submanifold with respect to the unit direction d{\in}\mathbb{R}^{n} and f:M{\to}\mathbb{R} be a eikonal function. We say that M is a f-eikonal helix ...
Integral estimates for the trace of symmetric operators on complete submanifolds
Integral estimates trace of symmetric operators complete submanifolds Differential Geometry
2012/4/17
Let $\Phi:TM\to TM$ be a positive-semidefinite operator of class $C^1$ defined on a complete noncompact manifold $M$ isometrically immersed in a Hadamard space $\bar{M}$. In this paper, we given condi...
Deforming submanifolds of arbitrary codimension in a sphere
Mean curvature flow submanifolds of spheres convergence theorem differentiable sphere theorem integral curvature
2012/4/17
In this paper, we prove some convergence theorems for the mean curvature flow of closed submanifolds in the unit sphere $\mathbb{S}^{n+d}$ under integral curvature conditions. As a consequence, we obt...
Parallel submanifolds of the real 2-Grassmannian
Parallel submanifolds real 2-Grassmannian Differential Geometry
2011/9/22
Abstract: We classify parallel submanifolds of the Grassmannian $\rmG^+_2(\R^{n+2})$ which parameterizes the oriented 2-planes of the Euclidean space $\R^{n+2}$. Our main result states that every comp...
Mean curvature flow of Lagrangian submanifolds with isolated conical singularities
Lagrangian submanifolds isolated conical singularities Differential Geometry
2011/9/20
Abstract: In this paper we study the short time existence problem for the (generalized) Lagrangian mean curvature flow in (almost) Calabi--Yau manifolds when the initial Lagrangian submanifold has iso...
Umbilical submanifolds of $\mathbb{S}^n\times \mathbb{R}$
Umbilical submanifolds Differential Geometry
2011/8/30
Abstract: We give a complete classification of umbilical submanifolds of arbitrary dimension and codimension of $\Sf^n\times \R$, extending the classification of umbilical surfaces in $\Sf^2\times \R$...
Slant submanifolds of Kaehler Product Manifolds
Slant Submanifold Kaehler Manifold Ricci tensor
2010/2/26
In this paper, we study slant submanifolds of a Kaehler product manifold. We show that an F-invariant slant submanifold of Kaehler product manifold is a product manifold. We also obtain some curvature...
Realization of Frobenius manifolds as submanifolds in pseudo-Euclidean spaces
k-potential submanifolds partial differential equations pseudo-Euclidean spaces
2010/4/8
We introduce a class of k-potential submanifolds in pseudo-Euclidean spaces and prove that for an arbitrary positive integer k and an arbitrary nonnegative integer p, each N-dimensional Frobenius mani...
CHARACTERIZATION OF TOTALLY GEODESIC TOTALLY REAL 3-DIMENSIONAL SUBMANIFOLDS IN THE 6-SPHERE
Ricci curvature totally real submanifold nearly Kaehler 6-sphere totally geodesic submanifold
2007/12/13
In this paper, we study Lagrangian submanifolds of the nearly Kaehler 6-sphere. We derive a pinching result for the Ricci curvature of such submanifolds thus providing a characterisation of the totall...
Lagrangian Submanifolds Foliated by $(n-1)$-Spheres in $\R^{2n}$
Lagrangian submanifold special Lagrangian self-similar Hamiltonian stationary
2007/12/12
We study Lagrangian submanifolds foliated by $(n-1)$-spheres in $\R^{2n}$ for $n \geq 3$. We give a general parametrization for such submanifolds, and refine that description when the submanifold is s...
Inequality for Ricci Curvature of Slant Submanifolds in Cosymplectic Space Forms
Mean curvature sectional curvature k-Ricci curvature slant submanifold semi-slant submanifold bi-slant submanifold cosymplectic space form
2010/2/26
In this article, we establish inequalities between the Ricci curvature and the squared mean curvature, and also between the k-Ricci curvature and the scalar curvature for a slant, semi-slant and bi-sl...
Submanifolds of Riemannian Product Manifolds
Riemannian Product Manifold Real Space Form Locally Riemannian Product and Curvature-Invariant Submanifold
2010/2/26
In this paper, we study the geometry of the semi-invariant submanifolds of a Riemannian product manifold. Fundamental properties of these type submanifolds such as the integrability of the distributio...
F-Invariant Submanifolds of Kaehlerian Product Manifold
Kaehlerian Product Manifold Mixed Geodesic Submanifold Locally Decomposable Riemannian Manifold and Constant Holomorphic Sectional Curved Manifold
2010/2/26
In this paper, the geometry of F-invariant submanifolds of a Kaehlerian product manifold is studied. The fundamental properties of these submanifolds are investigated such as pseudo umbilical, curvatu...
Coisotropic Submanifolds of a Semi-Riemannian Manifold
Semi-Riemannian manifold Lightlike submanifolds Coisotropic submanifolds
2010/2/26
In this paper, we study coisotropic submanifolds of a semi-Riemannian manifold. We investigate the integrability condition of the screen distribution and give a necessary and sufficient condition on R...
On Invariant Submanifolds of Riemannian Warped Product Manifold
Riemannian Warped Product Manifold Vertical and Horizontal Distributions Pseudo-Umbilical Submanifold Curvature-Invariant Submanifold
2010/3/1
In this paper, we generalize the geometry of the invariant submanifolds of Riemannian product manifold to the geometry of the invariant submanifolds of Riemannian warped product manifold. We investiga...