Multisymplectic connections on supermanifolds

Authors

  • Masoud AMINIZADEH “Vali-e-Asr" University of Rafsanjan Department of Mathematics Rafsanjan, Iran e-mail: m.aminizadeh@vru.ac.ir https://orcid.org/0000-0002-2704-3866
  • Mina GHOTBALDINI “Vali-e-Asr" University of Rafsanjan Department of Mathematics Rafsanjan, Iran

Keywords:

Multisymplectic supermanifolds, multisymplectic connections.

Abstract

In this paper we show that on any multisymplectic supermanifold there exist a connection compatible to the multisymplectic form.

Mathematics Subject Classification (2010): 58A50, 53D05.

References

Blaga, P.A., Symplectic connections on supermanifolds: Existence and non-uniqueness, Stud. Univ. Babes-Bolyai Math., 58(2013), no. 4, 477-483.

Bieliavsky, P., Cahen, M., Gutt, S., Rawnsley, J., Schwachhofer, L., Symplectic connections, math/0511194.

Gelfand, I., Retakh, V., Shubin, M., Fedosov manifolds, Advan. Math., 136(1998), 104-140.

Goertsches, O., Riemannian supergeometry, Math. Z., 260, (2008), 557-593.

Leites, D.A., Introduction to the theory of supermanifolds, Russian Mathematical Surveys, 35(1980), 1-64.

STUDIA UBB MATHEMATICA, Volume 60 (LX), No. 4, December 2015

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Published

2015-12-30

How to Cite

AMINIZADEH, M., & GHOTBALDINI, M. (2015). Multisymplectic connections on supermanifolds. Studia Universitatis Babeș-Bolyai Mathematica, 60(4), 597–601. Retrieved from https://studia.reviste.ubbcluj.ro/index.php/subbmathematica/article/view/5836

Issue

Volume 60, No. 4, December 2015

Section

Articles

License

Copyright (c) 2015 Studia Universitatis Babeș-Bolyai Mathematica

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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