International Journal of Mathematics and Mathematical Sciences
Volume 2009 (2009), Article ID 104274, 14 pages
Research Article

Biwave Maps into Manifolds

Department of Mathematics, University of Mary Washington, Fredericksburg, VA 22401, USA

Received 8 January 2009; Accepted 30 March 2009

Academic Editor: Jie Xiao

Copyright © 2009 Yuan-Jen Chiang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We generalize wave maps to biwave maps. We prove that the composition of a biwave map and a totally geodesic map is a biwave map. We give examples of biwave nonwave maps. We show that if f is a biwave map into a Riemannian manifold under certain circumstance, then f is a wave map. We verify that if f is a stable biwave map into a Riemannian manifold with positive constant sectional curvature satisfying the conservation law, then f is a wave map. We finally obtain a theorem involving an unstable biwave map.