Biwave Maps into Manifolds

Yuan-Jen Chiang

International Journal of Mathematics and Mathematical Sciences, 2009, vol. 2009, 1-14

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 ð ‘“ is a biwave map into a Riemannian manifold under certain circumstance, then ð ‘“ is a wave map. We verify that if ð ‘“ is a stable biwave map into a Riemannian manifold with positive constant sectional curvature satisfying the conservation law, then ð ‘“ is a wave map. We finally obtain a theorem involving an unstable biwave map.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:104274

DOI: 10.1155/2009/104274

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