On the Pick invariant
On the polar moment of inertia of the projection curve.
On the Polynomial Cohomology of Affine Manifolds.
On the principal bundles over a flag manifold.
On the problem whether the image of a given differentiable map into Riemannian manifold is contained in a submanifold with parallel second fundamental form.
On the product formula on noncompact Grassmannians
We study the absolute continuity of the convolution of two orbital measures on the symmetric space SO₀(p,q)/SO(p)×SO(q), q > p. We prove sharp conditions on X,Y ∈ for the existence of the density of the convolution measure. This measure intervenes in the product formula for the spherical functions. We show that the sharp criterion developed for SO₀(p,q)/SO(p)×SO(q) also serves for the spaces SU(p,q)/S(U(p)×U(q)) and Sp(p,q)/Sp(p)×Sp(q), q > p. We moreover apply our results to the study of...
On the projections of Laplacians under Riemannian submersions.
On the projective Finsler metrizability and the integrability of Rapcsák equation
A. Rapcsák obtained necessary and sufficient conditions for the projective Finsler metrizability in terms of a second order partial differential system. In this paper we investigate the integrability of the Rapcsák system and the extended Rapcsák system, by using the Spencer version of the Cartan-Kähler theorem. We also consider the extended Rapcsák system completed with the curvature condition. We prove that in the non-isotropic case there is a nontrivial Spencer cohomology group in the sequences...
On the projective motion in a projective Finsler space of recurrent curvature
On the projective structure of a real hypersurface in C...
On the projective theory of spinors
On the prolongation of vertical connections.
On the Prolongations of Differentiable Distributions
On the Pseudo-Conformal Geometry of a Kähler Manifold.
On the pullback equation
On the -deformed Heisenberg uncertainty relations and discrete time
The opportunity for verifying the basic principles of quantum theory and possible -deformation appears in quantum cryptography (QC) – a new discipline of physics and information theory.The author, member of the group of cryptology of Praha, presents in this paper the possibility to verify the -deformation of Heisenberg uncertainty relation -deformed QM and possible discretization on the base of a model presented in the fourth section.In the seven sections, the author discusses these problems....
On the quadric CMC spacelike hypersurfaces in Lorentzian space forms
We deal with complete spacelike hypersurfaces immersed with constant mean curvature in a Lorentzian space form. Under the assumption that the support functions with respect to a fixed nonzero vector are linearly related, we prove that such a hypersurface must be either totally umbilical or isometric to a hyperbolic cylinder of the ambient space.
On the quasi-conformal curvature tensor of a Kenmotsu manifold.
On the Randers spaces of second order.
On the real secondary classes of transversely holomorphic foliations
In this paper we study the real secondary classes of transversely holomorphic foliations. We define a homomorphism from the space of the real secondary classes to the space of the complex secondary classes that corresponds to forgetting the transverse holomorphic structure. By using this homomorphism we show, for example, the decomposition of the Godbillon-Vey class into the imaginary part of the Bott class and the first Chern class of the complex normal bundle of the foliation. We show also...