Transversal biwave maps

Yuan-Jen Chiang; Robert A. Wolak

Archivum Mathematicum (2010)

  • Volume: 046, Issue: 3, page 211-226
  • ISSN: 0044-8753

Abstract

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In this paper, we prove that the composition of a transversal biwave map and a transversally totally geodesic map is a transversal biwave map. We show that there are biwave maps which are not transversal biwave maps, and there are transversal biwave maps which are not biwave maps either. We prove that if f is a transversal biwave map satisfying certain condition, then f is a transversal wave map. We finally study the transversal conservation laws of transversal biwave maps.

How to cite

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Chiang, Yuan-Jen, and Wolak, Robert A.. "Transversal biwave maps." Archivum Mathematicum 046.3 (2010): 211-226. <http://eudml.org/doc/116484>.

@article{Chiang2010,
abstract = {In this paper, we prove that the composition of a transversal biwave map and a transversally totally geodesic map is a transversal biwave map. We show that there are biwave maps which are not transversal biwave maps, and there are transversal biwave maps which are not biwave maps either. We prove that if $f$ is a transversal biwave map satisfying certain condition, then $f$ is a transversal wave map. We finally study the transversal conservation laws of transversal biwave maps.},
author = {Chiang, Yuan-Jen, Wolak, Robert A.},
journal = {Archivum Mathematicum},
keywords = {transversal bi-energy; transversal biwave field; transversal biwave map; transversal bi-energy; transversal biwave field; transversal biwave map},
language = {eng},
number = {3},
pages = {211-226},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Transversal biwave maps},
url = {http://eudml.org/doc/116484},
volume = {046},
year = {2010},
}

TY - JOUR
AU - Chiang, Yuan-Jen
AU - Wolak, Robert A.
TI - Transversal biwave maps
JO - Archivum Mathematicum
PY - 2010
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 046
IS - 3
SP - 211
EP - 226
AB - In this paper, we prove that the composition of a transversal biwave map and a transversally totally geodesic map is a transversal biwave map. We show that there are biwave maps which are not transversal biwave maps, and there are transversal biwave maps which are not biwave maps either. We prove that if $f$ is a transversal biwave map satisfying certain condition, then $f$ is a transversal wave map. We finally study the transversal conservation laws of transversal biwave maps.
LA - eng
KW - transversal bi-energy; transversal biwave field; transversal biwave map; transversal bi-energy; transversal biwave field; transversal biwave map
UR - http://eudml.org/doc/116484
ER -

References

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