Geodesic
Foliations associated with the structure of a~manifold over a~Grassman algebra of even degree exterior forms
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 1 (2012), pp. 83-86

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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
Mots-clés : foliation. 
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     author = {S. Azarmi},
     title = {Foliations associated with the structure of a~manifold over {a~Grassman} algebra of even degree exterior forms},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {83--86},
     publisher = {mathdoc},
     number = {1},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2012_1_a10/}
}
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S. Azarmi. Foliations associated with the structure of a~manifold over a~Grassman algebra of even degree exterior forms. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 1 (2012), pp. 83-86. http://geodesic.mathdoc.fr/item/IVM_2012_1_a10/