This article is cited in 1 paper

Brief communications

Foliations associated with the structure of a manifold over a Grassman algebra of even degree exterior forms

S. Azarmi

Chair of Geometry, Kazan (Volga Region) Federal University, Kazan, Russia

Abstract: In this paper we consider a category of manifolds over the algebra of even degree exterior forms on $\mathbb R^N$. We give examples of the indicated manifolds. We explicitly find elements of the pseudogroup of differentiable transformations and demonstrate that on any differentiable manifold there exist affine foliations.

Keywords: Grassmann algebra, manifold over algebra, foliation.

UDC: 514.76

Presented by the member of Editorial Board: V. V. Shurygin
Received: 22.03.2011

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2012, 56:1, 76–78

Bibliographic databases:

• 
•