Biharmonic maps between doubly warped product manifolds

PERKTAS S. Y., KILIÇ E.

BALKAN JOURNAL OF GEOMETRY AND ITS APPLICATIONS, vol.15, no.2, pp.159-170, 2010 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 15 Issue: 2
  • Publication Date: 2010
  • Journal Name: BALKAN JOURNAL OF GEOMETRY AND ITS APPLICATIONS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.159-170
  • Inonu University Affiliated: Yes

Abstract

In this paper biharmonic maps between doubly warped product manifolds are studied. We show that the inclusion maps of Riemannian manifolds Band F into the nontrivial (proper) doubly warped product manifold (f)B x(b) F cannot be proper biharmonic maps. Also we analyze the conditions for the biharmonicity of projections (f)B x(b) F -> B and (f)B x(b) F -> F, respectively. Some characterizations for non-harmonic biharmonic maps are given by using product of harmonic maps and warping metric. Especially, in the case of f = 1, the results for warped product in [4] are obtained.