Wintgen inequality for statistical surfaces

2015/11/16 by Muhittin Evren Aydin, Aydin, Muhittin Evren, Ion Mihai +1
Mathematics · #53A40 #53C05 #53C40 #Differential Geometry (math.DG) #FOS: Mathematics #math.DG #msc:53A40 #msc:53C05 #msc:53C40

paper · pdf · doi:10.48550/arxiv.1511.04987

10 pages

arxiv created 2015/11/16 · arxiv updated 2015/11/17

Abstract

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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