Biharmonic maps between doubly warped product manifolds

Details Biharmonic maps between doubly warped product manifolds Biharmonic maps between doubly warped product manifolds

2008-07-11

arxiv.org/abs/0807.1836v2

Mathematics

Differential Geometry

13 pages

Scientific paper

In this paper biharmonic maps between doubly warped product manifolds are studied. We show that the inclusion maps of Riemannian manifolds $B$ and $F$ into the doubly warped product $_{f}B\times_{b}F$ can not be proper biharmonic maps. Also we analyze the conditions for the biharmonicity of projections $_{f}B\times_{b}F\to B$ and $_{f}B\times_{b}F\to F$, respectively. Some characterizations for non-harmonic biharmonic maps are given by using product of harmonic maps and warping metric. Specially, in the case of $f=1$, the results for warped product in \cite{Balmus-mont} are obtained.

Affiliated with

Also associated with

No associations

Rating

Biharmonic maps between doubly warped product manifolds does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Biharmonic maps between doubly warped product manifolds, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Biharmonic maps between doubly warped product manifolds will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-575954