搜索结果: 1-13 共查到“数学 SPACE FORMS”相关记录13条 . 查询时间(0.078 秒)
NONSTANDARD LORENTZ SPACE FORMS
lorentz Space form
2015/9/29
In their recent paper [8], Kulharni and Raymond show that a closed
3-manifold which admits a complete Lorentz metric of constant curvature 1
(henceforth called a complete Lorentz structure) must be ...
GEOMETRIC, TOPOLOGICAL AND DIFFERENTIABLE RIGIDITY OF SUBMANIFOLDS IN SPACE FORMS
GEOMETRIC TOPOLOGICAL DIFFERENTIABLE RIGIDITY SUBMANIFOLDS SPACE FORMS
2018/4/19
Let M be an n-dimensional submanifold in the simply connected space form Fn+p(c) with c + H2 > 0, where H is the mean curvature of M. We verify that if Mn(n ≥ 3) is an oriented compact submanifold wit...
Integral geometry of complex space forms
Integral geometry complex space forms Differential Geometry
2012/4/18
Using the language of Alesker's theory of valuations on manifolds, a thorough account of the integral geometry of the complex space forms is given. The local kinematic formulas on complex space forms ...
Special Lagrangian 4-folds with $SO(2)\rtimes S_3$-Symmetry in Complex Space Forms
Lagrangian 4-folds Complex Space Forms Differential Geometry
2011/8/25
Abstract: In this article we obtain a classification of special Lagrangian submanifolds in complex space forms subject to an $SO(2)\rtimes S_3$-symmetry on the second fundamental form. The algebraic s...
Hypersurfaces in non-flat Lorentzian space forms satisfying $L_k\psi=A\psi+b$
linearized operator Lk isoparametric hypersurface k-maximal hypersurface
2011/1/21
We study hypersurfaces either in the De Sitter space Sn+1 1 ⊂ Rn+2 1 or in the anti De
Sitter space Hn+1 1 ⊂ Rn+2 2 whose position vector satisfies the condition Lk = A + b,
Non-existence of CR submanifolds of maximal CR dimension satisfying RA = 0 in non-flat complex space forms
Complex space form CR submanifold of maximal CR dimension
2011/2/25
It has been proved that there are no real hypersurfaces satisfying RA =0 in non-flat complex space forms. In this paper we prove that the same is true in the case of CR submanifolds of maximal CR dime...
Geometry of CR submanifolds of maximal CR dimension in complex space forms
Complex space form CR submanifold of maximal CR dimension
2011/2/24
On real hypersurfaces in complex space forms many results are proven.In this paper we generalize some results concerning extrinsic geometry of real hypersurfaces, to CR submanifolds of maximal CR dime...
A symmetry result on submanifolds of space forms and Applications
submanifolds space forms Applications
2010/11/11
In this paper we prove a symmetry result on submanifolds of codimension one in a n + 1-dimensional space form, related to the geodesic distance function and to the normal curvature of some fixed vect...
Kaehler immersions of homogeneous Kaehler manifolds into complex space forms
Kä hler metrics infinite dimensional complex space forms
2010/12/9
In this paper we study the homogeneous Kähler manifolds (h.K.m.) which can be Kähler immersed into finite or infinite dimensional complex space forms. On one hand we completely classify the
...
Existence and uniqueness theorem for slant immersions in Kenmotsu space forms
Kenmotsu manifold slant immersion mean curvature sectional curvature
2010/2/25
In this paper we have obtained a general existence as well as uniqueness theorem for slant immersions into a Kenmotsu-space form.
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...
p-Elastica in the 3-Dimensional Lorentzian Space Forms
p-Elastica 3-Dimensional Lorentzian Space Forms
2010/2/26
R Huang worked the p-elastic in a Riemannian manifold with constant sectional curvature [1]. In this work, we solve the Euler-Lagrange equation by quadrature and study the Frenet equation of the p-ela...
Shape Operator AH for Slant Submanifolds in Generalized Complex Space Forms
Shape operator slant submanifolds generalized complex space form k-Ricci curvature
2010/2/26
In this article, we establish an inequality between the sectional curvature function K and the shape operator AH at the mean curvature vector for slant submanifolds in generalized complex space forms....