Produkt-Zerlegung von Immersionen mit paralleler zweiter Fundamentalform.
Projections of transnormal twisted spheres
Projective Curvature Tensorin 3-dimensional Connected Trans-Sasakian Manifolds
The object of the present paper is to study -projectively flat and -projectively flat 3-dimensional connected trans-Sasakian manifolds. Also we study the geometric properties of connected trans-Sasakian manifolds when it is projectively semi-symmetric. Finally, we give some examples of a 3-dimensional trans-Sasakian manifold which verifies our result.
Projective subspaces in the variety of normal sections and tangent spaces to a symmetric space.
Pseudo-Bochner-flat locally conformal Kähler submanifolds
Let M̃ be an (m+r)-dimensional locally conformal Kähler (l.c.K.) manifold and let M be an m-dimensional l.c.K. submanifold of M̃ (i.e., a complex submanifold with the induced l.c.K. structure). Assume that both M̃ and M are pseudo-Bochner-flat. We prove that if r < m, then M is totally geodesic (in the Hermitian sense) in M̃. This is the l.c.K. version of Iwatani's result for Bochner-flat Kähler submanifolds.
Pseudo-parallel submanifolds of a space form.
Pseudo-umbilical spacelike submanifolds in the indefinite space form.
QR-hypersurfaces of quaternionic Kähler manifolds.
Quadric hypersurfaces of finite type
Quadric representation and Clifford minimal hypersurfaces.
Quand deux sous-variétés sont forcées par leur géométrie à se rencontrer
Quantization on submanifolds
Quaternion CR-submanifolds of a quaternion Kähler manifold.
Rank and symmetry of Riemannian manifolds.
Real hypersurfaces in a nonflat complex space form and their almost contact metric structures
We characterize homogeneous real hypersurfaces of types (A₀), (A₁) and (B) in a complex projective space or a complex hyperbolic space.
Real Hypersurfaces in complex hyperbolic two-plane Grassmannians with commuting shape operator
In this paper we prove a non-existence of real hypersurfaces in complex hyperbolic two-plane Grassmannians SU2.m/S(U2·Um), m≥3, whose structure tensors {ɸi}i=1,2,3 commute with the shape operator.
Real hypersurfaces in complex hyperbolic two-plane Grassmannians with commuting restricted normal Jacobi operators
We give a classification of Hopf real hypersurfaces in complex hyperbolic two-plane Grassmannians with commuting conditions between the restricted normal Jacobi operator and the shape operator (or the Ricci tensor ).
Real hypersurfaces in complex space forms concerned with the local symmetry
This paper consists of two parts. In the first, we find some geometric conditions derived from the local symmetry of the inverse image by the Hopf fibration of a real hypersurface in complex space form . In the second, we give a complete classification of real hypersurfaces in which satisfy the above geometric facts.
Real hypersurfaces in complex two-plane Grassmannians whose normal Jacobi operator is of Codazzi type
We prove the non-existence of real hypersurfaces in complex two-plane Grassmannians whose normal Jacobi operator is of Codazzi type.
Real hypersurfaces in complex two-plane Grassmannians with certain commuting condition
In this paper, first we introduce a new notion of commuting condition that between the shape operator and the structure tensors and for real hypersurfaces in . Suprisingly, real hypersurfaces of type , that is, a tube over a totally geodesic in complex two plane Grassmannians satisfy this commuting condition. Next we consider a complete classification of Hopf hypersurfaces in satisfying the commuting condition. Finally we get a characterization of Type in terms of such commuting...