Biharmonic submanifolds in3-dimensional(κ,μ)-manifolds-Reference-Cited by-同舟云学术

Biharmonic submanifolds in3-dimensional(κ,μ)-manifolds

Published:2005 Issue:22 Volume:2005 Page:3575-3586
ISSN:0161-1712
Container-title:International Journal of Mathematics and Mathematical Sciences
language:en
Short-container-title:International Journal of Mathematics and Mathematical Sciences

Author:

Arslan K.¹^ORCID,Ezentas R.¹,Murathan C.¹,Sasahara T.²

Affiliation:

1. Department of Mathematics, Faculty of Science, Uludag University, Bursa 16059, Turkey

2. Department of Mathematics, Faculty of Science, Hokkaido University, Sappro 060-0810, Japan

Abstract

Biharmonic maps between Riemannian manifolds are defined as critical points of the bienergy and generalized harmonic maps. In this paper, we give necessary and sufficient conditions for nonharmonic Legendre curves and anti-invariant surfaces of3-dimensional(κ,μ)-manifolds to be biharmonic.

Publisher

Hindawi Limited

Subject

Mathematics (miscellaneous)

Link

http://downloads.hindawi.com/journals/ijmms/2005/163810.pdf

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