Scalar curvature on lightlike hypersurfaces.
Screen conformal half-lightlike submanifolds.
Screen transversal lightlike submanifolds of indefinite cosymplectic manifolds
Semi-invariant submanifolds of a Lorentzian para-Sasakian manifold.
Semiparallel isometric immersions of 3-dimensional semisymmetric Riemannian manifolds
A Riemannian manifold is said to be semisymmetric if . A submanifold of Euclidean space which satisfies is called semiparallel. It is known that semiparallel submanifolds are intrinsically semisymmetric. But can every semisymmetric manifold be immersed isometrically as a semiparallel submanifold? This problem has been solved up to now only for the dimension 2, when the answer is affirmative for the positive Gaussian curvature. Among semisymmetric manifolds a special role is played by the foliated...
Semi-parallel Lightlike Hypersurfaces of Indefinite Cosymplectic Space Forms
Semi-riemannian Manifolds Whose Weyl Tensor is a Kulkarni--nomizu Square
Semi-Riemannian manifolds whose Weyl tensor is a Kulkarni-Nomizu square.
Semisymmetry and Ricci-symmetry for Hypersurfaces of Semi-euclidean Spaces
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.