caa a22 4500 467911282 CHVBK 20180406152850.0 cr unu---uuuuu 170328e20061101xx s 000 0 eng 10.1007/s11232-006-0132-3 doi (NATIONALLICENCE)springer-10.1007/s11232-006-0132-3 Fedosov supermanifolds [Elektronische Daten] [P. Lavrov, O. Radchenko] 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. Springer Science+Business Media, Inc., 2006 supermanifold nationallicence tensor field nationallicence covariant derivative nationallicence symplectic curvature tensor nationallicence Lavrov P. Tomsk State Pedagogical University, Tomsk, Russia aut Radchenko O. Tomsk State Pedagogical University, Tomsk, Russia aut Theoretical and Mathematical Physics Kluwer Academic Publishers-Consultants Bureau 149/2(2006-11-01), 1474-1496 0040-5779 149:2<1474 2006 149 11232 https://doi.org/10.1007/s11232-006-0132-3 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11232-006-0132-3 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Lavrov P. Tomsk State Pedagogical University, Tomsk, Russia aut NATIONALLICENCE 700 1- Radchenko O. Tomsk State Pedagogical University, Tomsk, Russia aut NATIONALLICENCE 773 0- Theoretical and Mathematical Physics Kluwer Academic Publishers-Consultants Bureau 149/2(2006-11-01), 1474-1496 0040-5779 149:2<1474 2006 149 11232 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer