On the jets of fibred manifold morphisms
On the jets of foliation respecting maps
Using Weil algebra techniques, we determine all finite dimensional homomorphic images of germs of foliation respecting maps.
On the Kähler angles of submanifolds.
On the Kenmotsu hypersurfaces of special Hermitian manifolds.
On the kernel of holonomy.
A connection on a principal G-bundle may be identified with a smooth group morphism H : GL∞(M) → G, called a holonomy, where GL∞(M) is a group of equivalence classes of loops on the base M. The present article focuses on the kernel of this morphism, which consists of the classes of loops along which parallel transport is trivial. Use is made of a formula expressing the gauge potential as a suitable derivative of the holonomy, allowing a different proof of a theorem of Lewandowski’s, which states...
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 last geometric statement of Jacobi.
On the Lebesgue measure of the periodic points of a contact mainfold.
On the length of space curves of constant width.
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 Linear Isoperimetric Inequality.
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 differential geometry of complete intersections
On the local isometric imbedding problem of 2-dimensional Riemannian manifolds in Euclidean space
On the local map of manifolds
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).