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.
Hodge-Bott-Chern decompositions of mixed type forms on foliated Kähler manifolds
The Bott-Chern cohomology groups and the Bott-Chern Laplacian on differential forms of mixed type on a compact foliated Kähler manifold are defined and studied. Also, a Hodge decomposition theorem of Bott-Chern type for differential forms of mixed type is proved. Finally, the case of projectivized tangent bundle of a complex Finsler manifold is discussed.
Holomorphe Differentialformen auf algebraischen Varietäten mit Singularitäten I.
Holomorphe Differentialformen zu Kongruenzgruppen der Siegelschen Modulgruppe.
Holomorphic extension maps for spaces of Whitney jets.
The key result (Theorem 1) provides the existence of a holomorphic approximation map for some space of C∞-functions on an open subset of Rn. This leads to results about the existence of a continuous linear extension map from the space of the Whitney jets on a closed subset F of Rn into a space of holomorphic functions on an open subset D of Cn such that D ∩ Rn = RnF.
Holonomicity in synthetic differential geometry of jet bundles.
Homogeneous variational problems: a minicourse
A Finsler geometry may be understood as a homogeneous variational problem, where the Finsler function is the Lagrangian. The extremals in Finsler geometry are curves, but in more general variational problems we might consider extremal submanifolds of dimension . In this minicourse we discuss these problems from a geometric point of view.
Homologie des complexes de formes différentielles d'ordre supérieur
Homologie des ensembles semi-pfaffiens
Un sous-ensemble pfaffien d’un ouvert semi-analytique est une intersection finie d’ensembles semi-analytiques relativement compacts de et de feuilles non spiralantes de certains feuilletages analytiques de codimension 1 de Les sous-ensembles semi-pfaffiens de sont les éléments de la plus petite classe de sous-ensembles de contenant les sous-ensembles pfaffiens de , stable par intersection finie, réunion finie et différence symétrique. Les ensembles -pfaffiens sont les éléments de la...
Homotopie-Typ hochzusammenhängender ?-Manigfaltigkeiten.
Homotopy classification of regular sections
Horizontal forms on jet bundles.