This article is cited in 4 papers

Fedosov supermanifolds

P. M. Lavrov, O. V. Radchenko

Tomsk State Pedagogical University

Abstract: We study the properties of the symplectic curvature tensor on supermanifolds. Using the method of normal coordinates, we establish higher-order relations between affine extensions of the curvature tensor and of the symplectic structure tensor. We find a generating function for higher-order relations.

Keywords: supermanifold, tensor field, covariant derivative, symplectic curvature tensor.

Received: 08.09.2005
Revised: 07.03.2006

DOI: 10.4213/tmf4227

 English version: Theoretical and Mathematical Physics, 2006, 149:2, 1474–1496

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