Work

Biharmonic maps into compact Lie groups and the integrable systems

Year: 2009

Type: preprint

Abstract: The reduction of biharmonic maps equation in terms of the Maurer-Cartan form for all smooth map of any compact Riemannian manifolds into a compact Lie group with bi-invariant Riemannian metric is obtained. By this formula, all the biharmonic curves into a compact Lie group and all biharmonic maps from a 2-dimensional open domain into a compact Lie group are characterized.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.0910.0692

Author: Urakawa, Hajime

Institution: Tohoku University

Language: English

Topic: Advanced Differential Geometry Research

Subfield: Astronomy and Astrophysics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funder: Japan Society for the Promotion of Science

Awards: New development of harmonic maps, Convergence theory of metric measure spaces and its development

OpenAlex ID: W1977953836

Cites: 6

Cited by: 3

Related to: 10