Harmonic cohomology classes of symplectic manifolds.
Harmonic mappings of Kähler manifolds to locally symmetric spaces
Harmonie Forms Dual to Geodesic Cycles in Quotients of SU (p, 1).
Hecke operators on de Rham cohomology.
We introduce Hecke operators on de Rham cohomology of compact oriented manifolds. When the manifold is a quotient of a Hermitian symmetric domain, we prove that certain types of such operators are compatible with the usual Hecke operators on automorphic forms.
Helmholtz conditions and their generalizations.
Hermitian natural tensors.
Hidden symmetries of the gravitational contact structure of the classical phase space of general relativistic test particle
The phase space of general relativistic test particle is defined as the 1-jet space of motions. A Lorentzian metric defines the canonical contact structure on the odd-dimensional phase space. In the paper we study infinitesimal symmetries of the gravitational contact phase structure which are not generated by spacetime infinitesimal symmetries, i.e. they are hidden symmetries. We prove that Killing multivector fields admit hidden symmetries of the gravitational contact phase structure and we give...
Higher order absolute differentiation with respect to generalized connections
Higher order Cartan connections.
Higher order Cartan connections
A Cartan connection associated with a pair is defined in the usual manner except that only the injectivity of is required. For an -th order connection associated with a bundle morphism the concept of Cartan order is defined, which for , and coincides with the classical definition. Results are obtained concerning the Cartan order of -th order connections that are the product of first order (Cartan) connections.
Higher order connections.
Higher order graded and berezinian lagrangian densities and their Euler-Lagrange equations
Higher order Grassmann fibrations and the calculus of variations.
Higher order jet involution
We introduce an exchange natural isomorphism between iterated higher order jet functors depending on a classical linear connection on the base manifold. As an application we study the prolongation of higher order connections to jet bundles.
Higher order linear connections from first order ones
We describe how find all -natural operators transforming torsion free classical linear connections on -manifolds into -th order linear connections on .
Higher order torsions of manifolds with connection
Higher order valued reduction theorems for classical connections
We generalize reduction theorems for classical connections to operators with values in k-th order natural bundles. Using the 2nd order valued reduction theorems we classify all (0,2)-tensor fields on the cotangent bundle of a manifold with a linear (non-symmetric) connection.
Higher-order preconnections in synthetic differential geometry of jet bundles.
Hodge theory for twisted differentials
We study cohomologies and Hodge theory for complex manifolds with twisted differentials. In particular, we get another cohomological obstruction for manifolds in class C of Fujiki. We give a Hodgetheoretical proof of the characterization of solvmanifolds in class C of Fujiki, first stated by D. Arapura.
Hodge theory in the Sobolev topology for the de Rham complex on a smoothly bounded domain in Euclidean space.