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On the Integrability of Generalized Almost para-Norden and para-Hermitian Structures

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Abstract

In this paper, we investigate the \(\nabla \) integrability of generalized almost para-Norden/para-Hermitian structures on the big-tangent bundle of smooth manifolds endowed with some additional structures. We also study their invariance under a B-field transformation of the first and second types, respectively. Finally, we obtain a relation between \(\nabla \) integrability and the standard Courant integrability of generalized almost para-Norden or para-Hermitian structures, and we give some conditions for the equivalence of these kinds of integrability, in some particular cases.

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Authors and Affiliations

  1. Department of Mathematics and Computer Science, University Transilvania of Braşov, Str. Iuliu Maniu 50, 500091, Brasov, Romania

    Cristian Ida & Adelina Manea

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  1. Cristian Ida
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  2. Adelina Manea
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Correspondence to Adelina Manea.

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Ida, C., Manea, A. On the Integrability of Generalized Almost para-Norden and para-Hermitian Structures. Mediterr. J. Math. 14, 173 (2017). https://doi.org/10.1007/s00009-017-0975-x

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  • DOI: https://doi.org/10.1007/s00009-017-0975-x

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