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Riemann-Finsler Geometry with Applications to Information Geometry

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Abstract

Information geometry is a new branch in mathematics, originated from the applications of differential geometry to statistics. In this paper we briefly introduce Riemann-Finsler geometry, by which we establish Information Geometry on a much broader base, so that the potential applications of Information Geometry will be beyond statistics.

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Authors and Affiliations

  1. Department of Mathematical Sciences, Indiana University Purdue University Indianapolis, 402 N. Blackford Street, Indianapolis, IN 46202-3216, USA

    Zhongmin Shen

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  1. Zhongmin Shen
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Correspondence to Zhongmin Shen.

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(Dedicated to the memory of Shiing-Shen Chern)

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Shen, Z. Riemann-Finsler Geometry with Applications to Information Geometry. Chin. Ann. Math. Ser. B 27, 73–94 (2006). https://doi.org/10.1007/s11401-005-0333-3

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  • DOI: https://doi.org/10.1007/s11401-005-0333-3

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