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KV Cohomology Group of Some KV Structures on \(\mathbb {R}^2\)

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Geometric Science of Information (GSI 2023)

Abstract

The main concern of this paper is to prove that the vector space \(\mathbb {R}^2\) have non trivial KV structures and some of them have non trivail KV cohomology. We propose the explicite computation of one of them.

Supported by UFD-SF-UMa-2023.

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References

  1. Boyom, M, N., Wolak, R.: Local structure of Koszul-Vinberg and of Lie algebroids. Bulletin des sciences mathématiques 128(6), 467–479 (2004) https://doi.org/10.1016/j.bulsci.2004.02.007

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Acknowledgements

We kindly thank the Mama Assandje Rosaire Prospere and Dr. Tsimi Armand for their comments.

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Correspondence to Mopeng Herguey .

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Herguey, M., Dongho, J. (2023). KV Cohomology Group of Some KV Structures on \(\mathbb {R}^2\). In: Nielsen, F., Barbaresco, F. (eds) Geometric Science of Information. GSI 2023. Lecture Notes in Computer Science, vol 14071. Springer, Cham. https://doi.org/10.1007/978-3-031-38271-0_22

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  • DOI: https://doi.org/10.1007/978-3-031-38271-0_22

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-031-38270-3

  • Online ISBN: 978-3-031-38271-0

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