Biconservative Submanifolds with Parallel Normalized Mean Curvature Vector Field in Euclidean Spaces


YEĞİN ŞEN R.

BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2022 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Publication Date: 2022
  • Doi Number: 10.1007/s41980-022-00691-2
  • Title of Journal : BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY
  • Keywords: Biconservative submanifolds, Parallel normalized mean curvature vector tield, DISTINCT PRINCIPAL CURVATURES, HYPERSURFACES, SURFACES

Abstract

A submanifold in the Euclidean space is said to have parallel normalized mean curvature vector field if the unit vector field in the direction of the mean curvature vector field is parallel in the normal bundle. In this article, we focus on biconservative m-dimensional submanifolds which have parallel normalized mean curvature vector field in Em+2. We obtain canonical forms of the shape operators of such submanifolds.