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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2008, Number 11, Pages 60–67 (Mi ivm1777)  
A class of isoclinic three-webs

L. M. Pidzhakova

Tver State Technical University, Tver, Russia
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Abstract: We consider multidimensional isoclinic three-webs with covariantly constant (with respect to the Chern connection) curvature and torsion tensors. It is proved that there exists a unique (up to an isotopy) isoclinic three-webs with covariantly constant basic tensors. We find structure and finite equations of this web and consider some its properties.
Keywords: multidimensional isoclinic three-webs, curvature and torsion tensors, structure equations of web, $A$-web.
Received: 14.11.2006
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2008, Volume 52, Issue 11, Pages 53–59
DOI: https://doi.org/10.3103/S1066369X08110066
Bibliographic databases:
UDC: 514.756
Language: Russian
Citation: L. M. Pidzhakova, “A class of isoclinic three-webs”, Izv. Vyssh. Uchebn. Zaved. Mat., 2008, no. 11, 60–67; Russian Math. (Iz. VUZ), 52:11 (2008), 53–59
Citation in format AMSBIB
\Bibitem{Pid08}
\by L.~M.~Pidzhakova
\paper A class of isoclinic three-webs
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2008
\issue 11
\pages 60--67
\mathnet{http://mi.mathnet.ru/ivm1777}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2530585}
\zmath{https://zbmath.org/?q=an:1167.53017}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2008
\vol 52
\issue 11
\pages 53--59
\crossref{https://doi.org/10.3103/S1066369X08110066}
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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