Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2021, Volume 203, Pages 116–129
DOI: https://doi.org/10.36535/0233-6723-2021-203-116-129 (Mi into934) 		 
On Weil algebras and Weil bundles

A. Ya. Sultanova, G. A. Sultanovab, O. A. Monakhovaa

a Penza State University
b Military Educational Institution of Logistics named after General of the Army A.V. Khrulev
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DOI: https://doi.org/10.36535/0233-6723-2021-203-116-129
Abstract: In this paper, we discuss Weil algebras and their application in the construction of Weil bundles. We also discuss Frobenius algebras and Vishnevsky's conjecture and prove that there exist Frobenius Weil algebras whose width is greater than one. Other properties of the Frobenius Weil algebras are indicated. A brief review of the results obtained over the past three years is given.
Keywords: Weil algebra, Frobenius algebra, smooth manifold, linear connection.
Document Type: Article
UDC: 514.76
MSC: 53В15
Language: Russian
Citation: A. Ya. Sultanov, G. A. Sultanova, O. A. Monakhova, “On Weil algebras and Weil bundles”, Geometry, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 203, VINITI, Moscow, 2021, 116–129
Citation in format AMSBIB
\Bibitem{SulSulMon21}
\by A.~Ya.~Sultanov, G.~A.~Sultanova, O.~A.~Monakhova
\paper On Weil algebras and Weil bundles
\inbook Geometry
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2021
\vol 203
\pages 116--129
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into934}
\crossref{https://doi.org/10.36535/0233-6723-2021-203-116-129}
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