On compact locally conformal Kaehler manifolds with non-negative sectional curvature
On compact solvability of differentials of an elliptic differential complex.
On Complexifications of Differentiable Manifolds.
On condition of a stratified mapping
For a stratified mapping , we consider the condition concerning the kernel of the differential of . We show that the condition is equivalent to the condition which has a more obvious geometric content.
On contact -spheres
We study invariant contact -spheres on principal circle-bundles and solve the corresponding existence problem in dimension 3. Moreover, we show that contact - spheres can only exist on -dimensional manifolds and we construct examples of contact -spheres on such manifolds. We also consider relations between tautness and roundness, a regularity property concerning the Reeb vector fields of the contact forms in a contact -sphere.
On curvatures of linear frame bundles with naturally lifted metrics.
On curves and jets of curves on supermanifolds
In this paper we examine a natural concept of a curve on a supermanifold and the subsequent notion of the jet of a curve. We then tackle the question of geometrically defining the higher order tangent bundles of a supermanifold. Finally we make a quick comparison with the notion of a curve presented here are other common notions found in the literature.
On differential spaces whose Cartesian product is a differentiable manifold
On differential subspaces of Cartesian space
On Equivalence of Ideals of Real Global Analytic Functions and the 17th Hilbert Problem.
On equivalence relations on a differential space
On exterior forms and exterior differential on a differential space of finite dimension.
On Finite Ck Left Determinacy.
On Finite Determinacy of Formal Vector Fields.
On foliations in Sikorski differential spaces with Brouwerian leaves
The class of locally connected and locally homeomorphically homogeneous topological spaces such that every one-to-one continuous mapping of an open subspace into the space is open has been considered. For a foliation F [3] on a Sikorski differential space M with leaves having the above properties it is proved that for some open sets U in M covering the set of all points of M the connected components of U ∩ L̲ in the topology of M coincide with the connected components in the topology of L for L∈...
On foliations of differential spaces
On foliations with coregular factor mapping
On formal theory of differential equations. I.
On formal theory of differential equations. II.
On formal theory of differential equations. III.
Elements of the general theory of Lie-Cartan pseudogroups (including the intransitive case) are developed within the framework of infinitely prolonged systems of partial differential equations (diffieties) which makes it independent of any particular realizations by transformations of geometric object. Three axiomatic approaches, the concepts of essential invariant, subgroup, normal subgroup and factorgroups are discussed. The existence of a very special canonical composition series based on Cauchy...