Document Type
Article
Digital Object Identifier (DOI)
10.1155/2009/104274
Journal Title
International Journal of Mathematics and Mathematical Sciences
Publication Date
2009
Abstract
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.
Publisher Statement
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.
Recommended Citation
Chiang, Yuan-Jen. “Biwave Maps into Manifolds.” International Journal of Mathematics and Mathematical Sciences (2009): 1–14. https://doi.org/10.1155/2009/104274.