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


Chen B., Yildirim H.

JOURNAL OF GEOMETRY AND PHYSICS, cilt.92, ss.167-180, 2015 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 92
  • Basım Tarihi: 2015
  • Doi Numarası: 10.1016/j.geomphys.2015.02.015
  • Dergi Adı: JOURNAL OF GEOMETRY AND PHYSICS
  • Sayfa Sayıları: ss.167-180

Özet

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.