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Fedosov supermanifolds |
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| Authors: | P. M. Lavrov O. V. Radchenko |
| Affiliation: | (1) Tomsk State Pedagogical University, Tomsk, Russia |
| 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. __________ Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 149, No. 2, pp. 202–227, November, 2006. |
| Keywords: | supermanifold tensor field covariant derivative symplectic curvature tensor |
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