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Harmonic Maps for Bumpy Metrics

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Statistical Thermodynamics and Differential Geometry of Microstructured Materials

Part of the book series: The IMA Volumes in Mathematics and its Applications ((IMA,volume 51))

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Abstract

Here we give a description on how a harmonic map (from one manifold to another) varies, depending on the deformation of the image manifold. We are particularly interested in the deformations which keep the singularities of harmonic maps. An application is given.

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References

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Author information

Authors and Affiliations

  1. Department of Mathematics, University of Southern California, Los Angeles, CA, 90089, USA

    Libin Mou

Authors
  1. Libin Mou
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Editor information

Editors and Affiliations

  1. Department of Chemical Engineering and Materials Science, University of Minnesota, 55455, Minneapolis, MN, USA

    H. Ted Davis

  2. School of Mathematics, University of Minnesota, 55455, Minneapolis, MN, USA

    Johannes C. C. Nitsche

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© 1993 Springer-Verlag New York, Inc.

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Mou, L. (1993). Harmonic Maps for Bumpy Metrics. In: Davis, H.T., Nitsche, J.C.C. (eds) Statistical Thermodynamics and Differential Geometry of Microstructured Materials. The IMA Volumes in Mathematics and its Applications, vol 51. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-8324-6_5

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  • DOI: https://doi.org/10.1007/978-1-4613-8324-6_5

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4613-8326-0

  • Online ISBN: 978-1-4613-8324-6

  • eBook Packages: Springer Book Archive

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