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This chapter proposes the concept of a statistical map between two statistical manifolds and presents illustrative examples. Subsequently, we generalize Chen’s first inequality for Riemannian maps to the framework of statistical maps by deriving the corresponding Gauss equation.

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Statistical Maps and Chen’s First Inequality for These Maps

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  • 发表日期：

    2026年

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  • Sema Kazan,
  • Aliya Naaz Siddiqui

摘要

This chapter proposes the concept of a statistical map between two statistical manifolds and presents illustrative examples. Subsequently, we generalize Chen’s first inequality for Riemannian maps to the framework of statistical maps by deriving the corresponding Gauss equation.