Biwave Maps into Manifolds
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...
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2009-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2009/104274 |
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doaj-9cc7f07895e64f91a0f91d57f6ad50832020-11-25T00:10:45ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252009-01-01200910.1155/2009/104274104274Biwave Maps into ManifoldsYuan-Jen Chiang0Department of Mathematics, University of Mary Washington, Fredericksburg, VA 22401, USAWe 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.http://dx.doi.org/10.1155/2009/104274 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Yuan-Jen Chiang |
| spellingShingle |
Yuan-Jen Chiang Biwave Maps into Manifolds International Journal of Mathematics and Mathematical Sciences |
| author_facet |
Yuan-Jen Chiang |
| author_sort |
Yuan-Jen Chiang |
| title |
Biwave Maps into Manifolds |
| title_short |
Biwave Maps into Manifolds |
| title_full |
Biwave Maps into Manifolds |
| title_fullStr |
Biwave Maps into Manifolds |
| title_full_unstemmed |
Biwave Maps into Manifolds |
| title_sort |
biwave maps into manifolds |
| publisher |
Hindawi Limited |
| series |
International Journal of Mathematics and Mathematical Sciences |
| issn |
0161-1712 1687-0425 |
| publishDate |
2009-01-01 |
| description |
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. |
| url |
http://dx.doi.org/10.1155/2009/104274 |
| work_keys_str_mv |
AT yuanjenchiang biwavemapsintomanifolds |
| _version_ |
1725407373026131968 |