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-web with covariantly constant basic tensors.We find structure and finite equations of this web and consider some its properties.
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Original Russian Text © L.M. Pidzhakova, 2008, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2008, No. 11, pp. 60–67.
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Pidzhakova, L.M. A class of isoclinic three-webs. Russ Math. 52, 53–59 (2008). https://doi.org/10.3103/S1066369X08110066
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DOI: https://doi.org/10.3103/S1066369X08110066