Published January 1, 2019 | Version v1
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WINTGEN INEQUALITY FOR STATISTICAL SURFACES

  • 1. Firat Univ, Fac Sci, Dept Math, TR-23200 Elazig, Turkey
  • 2. Univ Bucharest, Fac Math & Comp Sci, Dept Math, Bucharest 010014, Romania

Description

The Wintgen inequality (1979) is a sharp geometric inequality for surfaces in the 4-dimensional Euclidean space involving the Gauss curvature (intrinsic invariant) and the normal curvature and squared mean curvature (extrinsic invariants), respectively. In the present paper we obtain a Wintgen inequality for statistical surfaces.

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