On conability of singlevalued mappings
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 -conformal changes of Riemann-Finsler metrics
On conjugacy of diffeomorphisms infinitely tangent to the identity. II.
On constant solutions of the Yang-Mills equations
On contact equivalence of holomorphic Monge-Ampére equations.
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 decomposable Monge-Ampère equations.
On deducing the presence of catastrophes
On deformations of finite operator calculus of Rota
The author develops a -analogue of Rota’s finite operator calculus in enumerative combinatorics.
On deformations of hyperbolic 3-manifolds with geodesic boundary.
On Deformations of Kähler Spaces. I.
On degenerate elliptic operators of infinite type.
On determining a riemannian manifold from the Dirichlet-to-Neumann map
On diffeomorphisms deleting weak compacta in Banach spaces
We prove that if X is an infinite-dimensional Banach space with smooth partitions of unity then X and X∖ K are diffeomorphic for every weakly compact set K ⊂ X.
On differential equations and inclusions with mean derivatives on a compact manifold
We introduce and investigate a new sort of stochastic differential inclusions on manifolds, given in terms of mean derivatives of a stochastic process, introduced by Nelson for the needs of the so called stochastic mechanics. This class of stochastic inclusions is ideologically the closest one to ordinary differential inclusions. For inclusions with forward mean derivatives on manifolds we prove some results on the existence of solutions.
On Differential Equations in lie Algebroids
On differential inclusions of velocity hodograph type with Carathéodory conditions on Riemannian manifolds
We investigate velocity hodograph inclusions for the case of right-hand sides satisfying upper Carathéodory conditions. As an application we obtain an existence theorem for a boundary value problem for second-order differential inclusions on complete Riemannian manifolds with Carathéodory right-hand sides.