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Curvature Inequalities and Simons’ Type Formulas in Statistical Geometry

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Book cover Geometric Science of Information (GSI 2021)

Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 12829))

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Abstract

We present some inequalities for curvatures and some applications of Simons’ formulas to statistical structures.

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References

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Author information

Authors and Affiliations

  1. Faculty of Mathematics and Computer Science, Jagiellonian University, ul. Łojasiewicza 6, 30-348, Cracow, Poland

    Barbara Opozda

Authors
  1. Barbara Opozda
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Correspondence to Barbara Opozda .

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Editors and Affiliations

  1. Sony Computer Science Laboratories Inc., Tokyo, Japan

    Frank Nielsen

  2. THALES Land & Air Systems, Meudon, France

    Frédéric Barbaresco

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Opozda, B. (2021). Curvature Inequalities and Simons’ Type Formulas in Statistical Geometry. In: Nielsen, F., Barbaresco, F. (eds) Geometric Science of Information. GSI 2021. Lecture Notes in Computer Science(), vol 12829. Springer, Cham. https://doi.org/10.1007/978-3-030-80209-7_43

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  • DOI: https://doi.org/10.1007/978-3-030-80209-7_43

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-80208-0

  • Online ISBN: 978-3-030-80209-7

  • eBook Packages: Computer ScienceComputer Science (R0)

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