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Transversal wave maps and transversal exponential wave maps

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Abstract

Transversal wave maps and wave maps are different. There are wave maps which are not transversal wave maps, and vice versa. However, if f is a wave map under certain circumstance, then f is a transversal wave map. We show that if f is a transversal exponential wave map, then the associated energy–momentum is transversally conserved. We finally obtain the relationship among transversal wave maps, transversal exponential wave maps and certain second order symmetric tensors.

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Authors and Affiliations

  1. Department of Mathematics, University of Mary Washington, Fredericksburg, VA, USA

    Yuan-Jen Chiang

  2. Instytut Matematyki, Uniwersytet Jagiellonski, Lojasiewicza 6, Kraków, Poland

    Robert A. Wolak

Authors
  1. Yuan-Jen Chiang
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  2. Robert A. Wolak
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Correspondence to Yuan-Jen Chiang.

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Chiang, YJ., Wolak, R.A. Transversal wave maps and transversal exponential wave maps. J. Geom. 104, 443–459 (2013). https://doi.org/10.1007/s00022-013-0185-z

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  • DOI: https://doi.org/10.1007/s00022-013-0185-z

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