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CR submanifolds of maximal CR dimension of a complex space form with recurrent shape operator
Complex space form CR submanifold of maximal CR dimension
2011/2/28
Let M be a CR submanifold of maximal CR dimension of a complex space form M. The shape operator A of the distinguished vector field is recurrent if there exists a 1-form v such that ∇A = A X...
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...
On stable compact minimal submanifolds
stability minimal submanifolds product spaces spheres
2011/1/18
Stable compact minimal submanifolds of the product of a sphere and any Riemannian manifold are classified whenever the dimension of the sphere is at least three. The complete classification of the sta...
Some submanifolds of almost contact manifolds with Norden metric
Norden metric almost contact manifold submanifold Lie group
2010/12/1
In this paper we study submanifolds of almost contact manifolds with Norden metric of codimension two with totally real normal spaces. Examples of such submanifolds as a Lie subgroups are constructed.
Time-dependent Mechanics and Lagrangian submanifolds of Dirac manifolds
Time-dependent Mechanics presymplectic structures Poisson structures
2010/11/26
A description of time-dependent Mechanics in terms of Lagrangian submanifolds of presymplectic and Poisson manifolds is presented. Two new Tulczyjew triples are discussed. The first one is adapted to ...
Curvature estimates for submanifolds in warped products
Warped product manifolds Omori-Yau maximum principle weak Omori-Yau maximum principle
2010/12/8
We give estimates on the intrinsic and the extrinsic cur-vature of manifolds that are isometrically immersed as cylindrically bounded submanifolds of warped products. We also address extensions of the...
Submanifolds in manifolds with metric mixed 3-structures
invariant submanifold anti-invariant submanifold mixed 3-structure Einstein manifold
2010/12/15
Mixed 3-structures are odd-dimensional analogues of paraquaternionic structures. They appear naturally on lightlike hypersurfaces of almost paraquaternionic hermitian manifolds. We study invariant and...