On the Killing tensor fields on a compact Riemannian manifold.
On the Kolář connection
Let be a fibred manifold with -dimensional base and -dimensional fibres and be a vector bundle with the same base and with -dimensional fibres (the same ). If and , we classify all canonical constructions of a classical linear connection on from a system consisting of a general connection on , a torsion free classical linear connection on , a vertical parallelism on and a linear connection on . An example of such is the connection by I. Kolář.
On the Lebesgue measure of the periodic points of a contact mainfold.
On the Lengths of Closed Geodesics on Almost Round Spheres.
On the Lengths of Closed Geodesics on Convex Surfaces.
On the Lie algebra of vertical prolongation operators
On the linearization theorem for proper Lie groupoids
We revisit the linearization theorems for proper Lie groupoids around general orbits (statements and proofs). In the fixed point case (known as Zung’s theorem) we give a shorter and more geometric proof, based on a Moser deformation argument. The passage to general orbits (Weinstein) is given a more conceptual interpretation: as a manifestation of Morita invariance. We also clarify the precise statements of the Linearization Theorem (there has been some confusion on this, which has propagated throughout...
On the Lines of a Surface of Order Three.
On the local isometric imbedding problem of 2-dimensional Riemannian manifolds in Euclidean space
On the local moduli space of locally homogeneous affine connections in plane domains
Classification of locally homogeneous affine connections in two dimensions is a nontrivial problem. (See [5] and [7] for two different versions of the solution.) Using a basic formula by B. Opozda, [7], we prove that all locally homogeneous torsion-less affine connections defined in open domains of a 2-dimensional manifold depend essentially on at most 4 parameters (see Theorem 2.4).
On the Malcev completion of Kähler groups.
On the Martin compactification of a bounded Lipschitz domain in a riemannian manifold
The Martin compactification of a bounded Lipschitz domain is shown to be for a large class of uniformly elliptic second order partial differential operators on .Let be an open Riemannian manifold and let be open relatively compact, connected, with Lipschitz boundary. Then is the Martin compactification of associated with the restriction to of the Laplace-Beltrami operator on . Consequently an open Riemannian manifold has at most one compactification which is a compact Riemannian...
On the maximal spacelike submanifolds of a pseudo-Riemannian quasi constant curvature manifold.
On the maximum principle for principal curvatures
The paper contains the estimates from above of the principal curvatures of the solution to some curvature equations. A correction of the author's previous argument is presented.
On the Mean Curvature of R-Spaces.
On the measurability of sets of pairs of intersecting nonisotropic straight lines of type beta in the simply isotropic space
The measurable sets of pairs of intersecting non-isotropic straight lines of type and the corresponding densities with respect to the group of general similitudes and some its subgroups are described. Also some Crofton-type formulas are presented.
On the measurability of sets of pairs of straight lines in the simply isotropic space
We study the measurability of sets of pairs of straight lines with respect to the group of motions in the simply isotropic space by solving PDEs. Also some Crofton type formulas are obtained for the corresponding densities.
On the measurability of the conic sections' family in the projective space
In this paper we prove that the non degenerate conic sections' family in the projective space is measurable.
On the ME-manifold in --UFT and its conformal change.
On the meromorphic potential for a harmonic surface in a k-symmetric space.