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Remarks on the behaviour of higher-order derivations on the gluing of differential spaces

Krzysztof Drachal (2015)

Czechoslovak Mathematical Journal

This paper is about some geometric properties of the gluing of order $k$ in the category of Sikorski differential spaces, where $k$ is assumed to be an arbitrary natural number. Differential spaces are one of possible generalizations of the concept of an infinitely differentiable manifold. It is known that in many (very important) mathematical models, the manifold structure breaks down. Therefore it is important to introduce a more general concept. In this paper, in particular, the behaviour of $k^{th}$ order...

Remarks on the Lichnerowicz-Poisson cohomology

Izu Vaisman (1990)

Annales de l'institut Fourier

The paper begins with some general remarks which include the Mayer-Vietoris exact sequence, a covariant version of the Lichnerowicz-Poisson cohomology, and the definition of an associated Serre-Hochshild spectral sequence. Then we consider the regular case, and we discuss the Poisson cohomology by using a natural bigrading of the Lichnerowicz cochain complex. Furthermore, if the symplectic foliation of the Poisson manifold is either transversally Riemannian or transversally symplectic, the spectral...

Remarques sur les idéaux de polynômes et de formes différentielles extérieures I

Bruno Bigolin (1996)

Banach Center Publications

Remarques sur les idéaux de polynômes et de formes différentielles extérieures II

Claudio Cippo (1996)

Banach Center Publications

Remarques sur les problèmes comportant des inéquations différentielles globales

R. Thom (1959)

Bulletin de la Société Mathématique de France

Remarques sur les systèmes différentiels

Paulette Libermann (1982)

Cahiers de Topologie et Géométrie Différentielle Catégoriques

Resolutions of $p$ -stratifolds with isolated singularities.

Grinberg, Anna (2003)

Algebraic & Geometric Topology

Ricci and Bianchi identities for $h$ -normal $Γ$ -linear connections on $J^{1} (T, M)$ .

Neagu, Mircea (2003)

International Journal of Mathematics and Mathematical Sciences

Riemannian structures on higher order frame bundles over Riemannian manifolds.

Kurek, J., Mikulski, W.M. (2007)

Lobachevskii Journal of Mathematics

Rigid meromorphic foliations on complex surfaces

E. Ballico (1999)

Rendiconti del Seminario Matematico della Università di Padova

Rigid paths of generic 2-distributions with degenerate points on 3-manifolds

Jiro Adachi (2002)

Colloquium Mathematicae

We study rigid paths of generic 2-distributions with degenerate points on 3-manifolds. A complete description of such paths is obtained. For the proof, we construct separating surfaces of paths admissible for distributions.

Displaying 21 – 31 of 31

Currently displaying 21 – 31 of 31