On the induced geometric object on submanifolds of homogeneous spaces
On the infinitesimal geometric objects of submanifolds
On the integration theorem for Lie groupoids
On the invariant method in differential geometry of submanifolds
On the iterated absolute differentiation on some functional bundles
We deduce further properties of connections on the functional bundle of all smooth maps between the fibers over the same base point of two fibered manifolds over the same base, which we introduced in [2]. In particular, we define the vertical prolongation of such a connection, discuss the iterated absolute differentiation by means of an auxiliary linear connection on the base manifold and prove the general Ricci identity.
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 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 L2 cohomology of complex spaces.
On the Lie algebra of vertical prolongation operators
On the local map of manifolds
On the Mayer problem. I: General principles
On the Mayer problem. II: Examples
On the natural operators of Bianchi type
On the natural operators transforming vector fields to the -th tensor power
On the natural transformations of Weil bundles
First we deduce some general results on the covariant form of the natural transformations of Weil functors. Then we discuss several geometric properties of these transformations, special attention being paid to vector bundles and principal bundles.
On the notion of potential for mappings between linear spaces. A generalized version of the Poincaré lemma
An approach to the theory of linear differential forms in a radial subset of an (arbitrary) real linear space without a Banach structure is proposed. Only intrinsic (partially linear) topologies on are (implicitly) involved in the definitions and statements. Then a mapping , with , real linear spaces and a radial subset of , is considered. After showing a representation theorem of those bilinear forms on for which
On the Novikov complex for rational Morse forms
On the operator of exterior derivation on the Riemannian manifolds with cylindrical ends.
On the order of natural differential operators and liftings