On the index theorem for symplectic orbifolds
We give an explicit construction of the trace on the algebra of quantum observables on a symplectiv orbifold and propose an index formula.
On the induced geometric object on submanifolds of homogeneous spaces
On the infinitesimal geometric objects of submanifolds
On the Initial-Boundary Value Problem for Harmonic Maps from the 2-Dimensional Minkowski Space.
On the Instability of Minimal Submanifolds in Riemannian Manifolds of Positive Curvature.
On the integrability of a -conformal Killing equation in a Kaehlerian manifold.
On the integrability of orthogonal distributions in Poisson manifolds.
On the integral geometry of the linear subspaces in a biplanar space
On the integration theorem for Lie groupoids
On the intrinsic geometry of a unit vector field
We study the geometrical properties of a unit vector field on a Riemannian 2-manifold, considering the field as a local imbedding of the manifold into its tangent sphere bundle with the Sasaki metric. For the case of constant curvature , we give a description of the totally geodesic unit vector fields for and and prove a non-existence result for . We also found a family of vector fields on the hyperbolic 2-plane of curvature which generate foliations on with leaves of constant intrinsic...
On the Intrinsic Geometry of Sn x Sn.
On the invariance properties and the hamiltonian of the unified affine electromagnetism and gravitation theories
On the invariant method in differential geometry of submanifolds
On the invariant variational sequences in mechanics
Summary: The -th order variational sequence is the quotient sequence of the De Rham sequence on the th jet prolongation of a fibered manifold, factored through its contact subsequence.In this paper, the first order variational sequence on a fibered manifold with one-dimensional base is considered. A new representation of all quotient spaces as some spaces of (global) forms is given. The factorization procedure is based on a modification of the interior Euler operator, used in the theory of (infinite)...
On the irreducibility and inequivalence of unitary representations of gauge groups
On the Irreducibility of Flensted-Jensen's Fundamental Series Representations for Semisimple Symmetric Spaces.
On the isoperimetric inequality for minimal surfaces
On the Isotropy of Compact Minimal Surfaces in CPn.
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 Jäger-Kaul theorem concerning harmonic maps