Different Kinds of the Covariant Differentations in Recurrent Finsler Spaces
Different structures in and its subspaces.
Differentiability and analycity of topological entropy for Anosov and geodesic flows.
Differentiability and Approximate Differentiability for Intrinsic Lipschitz Functions in Carnot Groups and a Rademacher Theorem
A Carnot group G is a connected, simply connected, nilpotent Lie group with stratified Lie algebra. We study intrinsic Lipschitz graphs and intrinsic differentiable graphs within Carnot groups. Both seem to be the natural analogues inside Carnot groups of the corresponding Euclidean notions. Here ‘natural’ is meant to stress that the intrinsic notions depend only on the structure of the algebra of G. We prove that one codimensional intrinsic Lipschitz graphs are sets with locally finite G-perimeter....
Differentiability of Busemann Functions and Total Excess.
Differentiability of horizontal curves in Carnot–Carathéodory quasispaces.
Differentiability of mappings in the geometry of Carnot manifolds.
Differentiable functions in associative and alternative algebras and smooth surfaces in projective spaces over these algebras
Differentiable maps into riemannian manifolds of constant stable osculating rank. II. (Frenet-Theory).
Differentiable maps into riemannian manifolds of constant stable osculating rank. I.
Differentiable sphere theorems for Ricci curvature.
Differential and functional identities for the elliptic trilogarithm.
Differential and geometric structure for the tangent bundle of a projective limit manifold
Differential Batalin-Vilkovisky algebras arising from twilled Lie-Rinehart algebras
Twilled L(ie-)R(inehart)-algebras generalize, in the Lie-Rinehart context, complex structures on smooth manifolds. An almost complex manifold determines an "almost twilled pre-LR algebra", which is a true twilled LR-algebra iff the almost complex structure is integrable. We characterize twilled LR structures in terms of certain associated differential (bi)graded Lie and G(erstenhaber)-algebras; in particular the G-algebra arising from an almost complex structure is a (strict) d(ifferential) G-algebra...
Differential complex associated to closed differential forms of nonconstant rank.
Differential equations on contact riemannian manifolds
Differential forms as spinors
Differential forms, Weitzenböck formulae and foliations.
The Weitzenböck formulae express the Laplacian of a differential form on an oriented Riemannian manifold in local coordinates, using the covariant derivatives of the form and the coefficients of the curvature tensor. In the first part, we shall describe a certain "differential algebra formalism" which seems to be a more natural frame for those formulae than the usual calculations in local coordinates.In this formalism there appear some interesting differential operators which may also be used to...
Differential geometric structures of stable state feedback systems with dual connections
Differential geometrical relations for a class of formal series
An extension of the category of local manifolds is considered. Instead of smooth mappings of neighbourhoods of linear spaces as morphisms we deal with formal operator power series (or formal maps). Analogues of the objects appearing on smooth manifolds and vector bundles (vector fields, sections of a bundle, exterior forms, the de Rham complex, connection, etc.) are considered in this way. All the examinations are carried out in algebraic language, for we do not care about the convergence of formal...