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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2008, Number 11, Pages 60–67
(Mi ivm1777)
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A class of isoclinic three-webs
L. M. Pidzhakova Tver State Technical University, Tver, Russia
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
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
Linking options:
https://www.mathnet.ru/eng/ivm1777 https://www.mathnet.ru/eng/ivm/y2008/i11/p60
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Statistics & downloads: |
Abstract page: | 208 | Full-text PDF : | 51 | References: | 39 | First page: | 2 |
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