Biharmonic maps into symmetric spaces and integrable systems

Details Biharmonic maps into symmetric spaces and integrable systems Biharmonic maps into symmetric spaces and integrable systems

2011-01-17

arxiv.org/abs/1101.3152v2

Mathematics

Differential Geometry

28 pages

Scientific paper

In this paper, the description of biharmonic map equation in terms of the Maurer-Cartan form for all smooth map of a compact Riemannian manifold into a Riemannian symmetric space $(G/K,h)$ induced from the bi-invariant Riemannian metric $h$ on $G$ is obtained. By this formula, all biharmonic curves into symmetric spaces are determined, and all the biharmonic maps of an open domain of ${\Bbb R}^2$ with the standard Riemannian metric into $(G/K,h)$ are determined.

Affiliated with

Also associated with

No associations

Rating

Biharmonic maps into symmetric spaces and integrable systems 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 into symmetric spaces and integrable systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Biharmonic maps into symmetric spaces and integrable systems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-285408