RUS  ENG
Full version
JOURNALS // Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika // Archive

Izv. Vyssh. Uchebn. Zaved. Mat., 2008 Number 11, Pages 60–67 (Mi ivm1777)

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.

UDC: 514.756

Received: 14.11.2006


 English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2008, 52:11, 53–59

Bibliographic databases:


© Steklov Math. Inst. of RAS, 2025