Classification of ideal submanifolds of real space forms with type number <= 2


Chen B., Yildirim H.

JOURNAL OF GEOMETRY AND PHYSICS, vol.92, pp.167-180, 2015 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 92
  • Publication Date: 2015
  • Doi Number: 10.1016/j.geomphys.2015.02.015
  • Journal Name: JOURNAL OF GEOMETRY AND PHYSICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.167-180
  • Keywords: Ideal submanifold, Optimal inequalities, delta-invariants, SATISFYING CHENS EQUALITY, INEQUALITIES
  • Istanbul University Affiliated: Yes

Abstract

Roughly speaking, an ideal immersion of a Riemannian manifold into a real space form is an isometric immersion which produces the least possible amount of tension from the ambient space at each point of the submanifold. The main purpose of this paper is to completely classify all non-minimal ideal submanifolds of real space forms with type number <= 2. (C) 2015 Elsevier B.V. All rights reserved.