TANGENTIALLY CUBIC SUBMANIFOLDS OF E<SUP>m</SUP>

Ozturk G., Bayram B. (., ARSLAN K.

INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY, vol.3, no.2, pp.112-117, 2010 (ESCI) identifier

  • Publication Type: Article / Article
  • Volume: 3 Issue: 2
  • Publication Date: 2010
  • Journal Name: INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY
  • Journal Indexes: Emerging Sources Citation Index (ESCI)
  • Page Numbers: pp.112-117
  • Keywords: Biharmonic surfaces, Tangentially cubic surfaces
  • Bursa Uludag University Affiliated: Yes

Abstract

In the present study we consider the submanifold M of E-m satisfying the condition Delta H, e(i) = 0, where H is the mean curvature of M and e(i) is an element of TM. We call such submanifolds tangentially cubic. We proved that every null 2- type submanifold M of E-m is tangentially cubic. Further, we prove that the pointed helical geodesic surfaces of E-5 with constant Gaussian curvature are tangentially cubic.