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Sasakian Statistical Manifolds II

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Geometric Science of Information (GSI 2017)

Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 10589))

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Abstract

This article is a digest of [2, 3] with additional remarks on invariant submanifolds of Sasakian statistical manifolds.

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References

  1. Furuhata, H., Hasegawa, I.: Submanifold theory in holomorphic statistical manifolds. In: Dragomir, S., Shahid, M.H., Al-Solamy, F.R. (eds.) Geometry of Cauchy-Riemann Submanifolds, pp. 179–215. Springer, Singapore (2016). doi:10.1007/978-981-10-0916-7_7

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  2. Furuhata, H., Hasegawa, I., Okuyama, Y., Sato, K.: Kenmotsu statistical manifolds and warped product. J. Geom. To appear. doi:10.1007/s00022-017-0403-1

  3. Furuhata, H., Hasegawa, I., Okuyama, Y., Sato, K., Shahid, M.H.: Sasakian statistical manifolds. J. Geom. Phys. 117, 179–186 (2017). doi:10.1016/j.geomphys.2017.03.010

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  4. Kenmotsu, K.: Invariant submanifolds in a Sasakian manifold. Tohoku Math. J. 21, 495–500 (1969)

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  5. Yano, K., Kon, M.: Structures on Manifolds. World Scientific, Singapore (1984)

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Acknowledgments

The author thanks the anonymous reviewers for their careful reading of the manuscript. This work was supported by JSPS KAKENHI Grant Number JP26400058.

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Authors and Affiliations

  1. Department of Mathematics, Hokkaido University, Sapporo, 060-0810, Japan

    Hitoshi Furuhata

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  1. Hitoshi Furuhata
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Correspondence to Hitoshi Furuhata .

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Editors and Affiliations

  1. Ecole Polytechnique, Palaiseau, France

    Frank Nielsen

  2. Thales Land and Air Systems, Limours, France

    Frédéric Barbaresco

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Furuhata, H. (2017). Sasakian Statistical Manifolds II. In: Nielsen, F., Barbaresco, F. (eds) Geometric Science of Information. GSI 2017. Lecture Notes in Computer Science(), vol 10589. Springer, Cham. https://doi.org/10.1007/978-3-319-68445-1_21

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  • DOI: https://doi.org/10.1007/978-3-319-68445-1_21

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-68444-4

  • Online ISBN: 978-3-319-68445-1

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