Untermannigfaltigkieten mit paralleler zweiter Fundamentalform in euklidischen Räumen und Sphären.
-projective symmetries of fibered manifolds
We prove that the set of the -projective symmetries is a Lie algebra.
Values of pseudoriemannian sectional cuvature.
Vanishing conharmonic tensor of normal locally conformal almost cosymplectic manifold
The main purpose of the present paper is to study the geometric properties of the conharmonic curvature tensor of normal locally conformal almost cosymplectic manifolds (normal LCAC-manifold). In particular, three conhoronic invariants are distinguished with regard to the vanishing conharmonic tensor. Subsequentaly, three classes of normal LCAC-manifolds are established. Moreover, it is proved that the manifolds of these classes are -Einstein manifolds of type . Furthermore, we have determined...
Variational metrics on and the geometry of nonconservative mechanics
Variational principle for the Finslerian extension of general relativity.
Variational theory of Riemannian subspaces.
Variationsprobleme mit einem Levi-Civita Zusammenhang.
Variétés pseudo-ombilicales de codimension 2 et de courbure moyenne constante dans un espace elliptique à dimensions et généralisations
Variétés spatiales de codimension deux immergées dans un espace de Minkowski muni d'une connexion principale
Varieties of minimal rational tangents of codimension 1
Let be a uniruled projective manifold and let be a general point. The main result of [2] says that if the -degrees (i.e., the degrees with respect to the anti-canonical bundle of ) of all rational curves through are at least , then is a projective space. In this paper, we study the structure of when the -degrees of all rational curves through are at least . Our study uses the projective variety , called the VMRT at , defined as the union of tangent directions to the rational curves...
Vector curvature of a surface in a Hilbert space and the Gauss theorem.
Vector fields generating certain special transformations
Verallgemeinerte projektiv-euklidische Räume
Warped Product CR-Submanifolds of Lorentzian -Kenmotsu Manifolds
Warped product semi-invariant submanifolds in almost paracontact Riemannian manifolds.
Warped product submanifolds of cosymplectic manifolds.
Willmore submanifolds in the unit sphere.
In this paper we generalize the self-adjoint differential operator (used by Cheng-Yau) on hypersurfaces of a constant curvature manifold to general submanifolds. The generalized operator is no longer self-adjoint. However we present its adjoint operator. By using this operator we get the pinching theorem on Willmore submanifolds which is analogous to the pinching theorem on minimal submanifold of a sphere given by Simon and Chern-Do Carmo-Kobayashi.
Witt algebra and the curvature of the Heisenberg group
The aim of this paper is to determine explicitly the algebraic structure of the curvature algebra of the 3-dimensional Heisenberg group with left invariant cubic metric. We show, that this curvature algebra is an infinite dimensional graded Lie subalgebra of the generalized Witt algebra of homogeneous vector fields generated by three elements.
Zakřivené prostory