Regularity of harmonic maps into a static Lorentzian manifold |
| |
Authors: | Takeshi Isobe |
| |
Institution: | (1) Department of Mathematics, Faculty of Science, Tokyo Institute of Technology, Oh-okayama, Meguro-ku, 152 Tokyo, Japan |
| |
Abstract: | We study the regularity of harmonic maps from Riemannian manifold into a static Lorentzian manifold. We show that when the
domain manifold is two-dimensional, any weakly harmonic map is smooth. We also show that when dimension n of the domain manifold
is greater than two, there exists a weakly harmonic map for the Dirichlet problem which is smooth except for a closed set
whose (n − 2)-dimensional Hausdorff measure is zero. |
| |
Keywords: | Math Subject Classifications" target="_blank">Math Subject Classifications 58E20 35J50 |
本文献已被 SpringerLink 等数据库收录! |
|