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Izv. Vyssh. Uchebn. Zaved. Mat., 2012, Number 1, Pages 83–86 (Mi ivm8423)  

This article is cited in 1 scientific paper (total 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.

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

Bibliographic databases:

UDC: 514.76
Presented by the member of Editorial Board: В. В. Шурыгин
Received: 22.03.2011

Citation: S. Azarmi, “Foliations associated with the structure of a manifold over a Grassman algebra of even degree exterior forms”, Izv. Vyssh. Uchebn. Zaved. Mat., 2012, no. 1, 83–86; Russian Math. (Iz. VUZ), 56:1 (2012), 76–78

Citation in format AMSBIB
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\by S.~Azarmi
\paper Foliations associated with the structure of a~manifold over a~Grassman algebra of even degree exterior forms
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2012
\issue 1
\pages 83--86
\mathnet{http://mi.mathnet.ru/ivm8423}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=2975922}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2012
\vol 56
\issue 1
\pages 76--78
\crossref{https://doi.org/10.3103/S1066369X12010112}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84862703604}


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    This publication is cited in the following articles:
    1. Andrew James Bruce, Eduardo Ibarguengoytia, Norbert Poncin, “The Schwarz–Voronov Embedding of ${\mathbb Z}_{2}^{n}$-Manifolds”, SIGMA, 16 (2020), 002, 47 pp.  mathnet  crossref
  • Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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