WINTGEN INEQUALITY FOR STATISTICAL SURFACES

被引：11

作者：

Aydin, Muhittin Evren ^{[1
]}

Mihai, Ion ^{[2
]}

机构：

[1] Firat Univ, Fac Sci, Dept Math, TR-23200 Elazig, Turkey

[2] Univ Bucharest, Fac Math & Comp Sci, Dept Math, Bucharest 010014, Romania

来源：

MATHEMATICAL INEQUALITIES & APPLICATIONS | 2019年 / 22卷 / 01期

关键词：

Wintgen inequality; statistical manifold; statistical surface; dual connections; SPACE; CURVATURE; SUBMANIFOLDS; HYPERSURFACES; CONJECTURE;

D O I：

10.7153/mia-2019-22-09

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：123 / 132

页数：10

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