Shape Operators and Structure Tensors of Real Hypersurfaces in Nonflat Quaternionic Space Forms
We characterize curvature-adapted real hypersurfaces in nonflat quaternionic space forms in terms of their shape operators and structure tensors.
Singular Klein manifolds.
Singular points of lightlike hypersurfaces of the de Sitter space.
Slant and Legendre curves in Bianchi-Cartan-Vranceanu geometry
We study Legendre and slant curves for Bianchi-Cartan-Vranceanu metrics. These curves are characterized through the scalar product between the normal at the curve and the vertical vector field and in the helix case they have a proper (non-harmonic) mean curvature vector field. The general expression of the curvature and torsion of these curves and the associated Lancret invariant (for the slant case) are computed as well as the corresponding variant for some particular cases. The slant (particularly...
Slant submanifolds with prescribed scalar curvature into cosymplectic space form.
Slant surfaces with prescribed Gaussian curvature.
Some characterizations of 2-symmetric submanifolds in spaces of constant curvature
Some curvature conditions of the type 2x4 on the submanifolds satisfying Chen's equality
Some remarks on duality in
In this paper we review some of the concepts and results of V. I. Arnol’d [1] for curves in and extend them to curves and surfaces in .
Some results on warped product submanifolds of a Sasakian manifold.
Some theorems on austere submanifolds.
Some Theorems on Codazzi Tensors.
Space-like Weingarten surfaces in the three-dimensional Minkowski space and their natural partial differential equations
On any space-like Weingarten surface in the three-dimensional Minkowski space we introduce locally natural principal parameters and prove that such a surface is determined uniquely up to motion by a special invariant function, which satisfies a natural non-linear partial differential equation. This result can be interpreted as a solution to the Lund-Regge reduction problem for space-like Weingarten surfaces in Minkowski space. We apply this theory to linear fractional space-like Weingarten surfaces...
Special adapted basis in .
Spherical Hypersurfaces in Complex Manifolds.
Stable space-like hypersurfaces in the de Sitter space
In this paper, we study the stability of space-like hypersurfaces with constant scalar curvature immersed in the de Sitter spaces.
Strips with parallel second fundamental form in pseudo-Riemannian manifolds.
Submanifolds of an even-dimensional manifold structured by a -parallel connection.
Submanifolds of -structure manifold satisfying .
Submanifolds with Geodesic Normal Sections.