English

Wintgen inequality for statistical surfaces

Differential Geometry 2015-11-17 v1

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.

Keywords

Cite

@article{arxiv.1511.04987,
  title  = {Wintgen inequality for statistical surfaces},
  author = {Muhittin Evren Aydin and Ion Mihai},
  journal= {arXiv preprint arXiv:1511.04987},
  year   = {2015}
}

Comments

10 pages

R2 v1 2026-06-22T11:46:19.062Z