Biwave Maps into Manifolds | Zendy

Yuan-Jen Chiang | Zendy

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Biwave Maps into Manifolds

Author(s) -

Yuan-Jen Chiang

Publication year - 2009

Publication title -

international journal of mathematics and mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.21

H-Index - 39

eISSN - 1687-0425

pISSN - 0161-1712

DOI - 10.1155/2009/104274

Subject(s) - mathematics , exponential map (riemannian geometry) , sectional curvature , geodesic , manifold (fluid mechanics) , quasi open map , constant (computer programming) , harmonic map , riemannian manifold , curvature , pure mathematics , mathematical analysis , geometry , scalar curvature , computer science , mechanical engineering , engineering , programming language

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

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