A class of isoclinic three-webs
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 11 (2008), pp. 60-67
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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.
@article{IVM_2008_11_a5,
author = {L. M. Pidzhakova},
title = {A class of isoclinic three-webs},
journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
pages = {60--67},
publisher = {mathdoc},
number = {11},
year = {2008},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/IVM_2008_11_a5/}
}
L. M. Pidzhakova. A class of isoclinic three-webs. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 11 (2008), pp. 60-67. http://geodesic.mathdoc.fr/item/IVM_2008_11_a5/