On the embedding theorem
On the energy of sections of trivializable sphere bundles.
On the equivalence of variational problems. II
Elements of general theory of infinitely prolonged underdetermined systems of ordinary differential equations are outlined and applied to the equivalence of one-dimensional constrained variational integrals. The relevant infinite-dimensional variant of Cartan’s moving frame method expressed in quite elementary terms proves to be surprisingly efficient in solution of particular equivalence problems, however, most of the principal questions of the general theory remains unanswered. New concepts of...
On the equivalence of variational problems. III
On the Equivariant Morse Chain Complex of the Space of Closed Curves.
On the error term in Weyl's law for Heisenberg manifolds
On the eta invariant, stable positive scalar curvature, and Higher -genera.
On the evolution of harmonic mappings of Riemannian surfaces.
On the existence and non-existence of closed trajectories for some Hamiltonian flows.
On the existence and stability of unfoldings of equivariant two-parameter bifurcation problems.
On the existence of a codimension 1 completely integrable totally geodesic distribution on a pseudo-Riemannian Heisenberg group.
On the existence of an invariant measure for the dynamical system generated by partial differential equation
On the Existence of Closed Geodesics on Spherical Manifolds.
On the existence of constructions on connections by gauge bundle functors.
On the existence of escaping geodesics.
On the existence of free vibrations for a beam equation when the period is an irrational multiple of the length
The author examined non-zero -periodic (in time) solutions for a semilinear beam equation under the condition that the period is an irrational multiple of the length. It is shown that for a.e. (in the sense of the Lebesgue measure on ) the solutions do exist provided the right-hand side of the equation is sublinear.
On the existence of geodesics in static Lorentz manifolds with singular boundary
On the Existence of Harmonic Diffeomorphisms Between Surfaces.
On the existence of harmonic maps from a surface into the real projective plane
On the existence of Harmonic Morphisms form Symmetric spaces of rank one.