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On the stability of harmonic maps

Part of the Lecture Notes in Mathematics book series (LNM,volume 949)

Keywords

  • Riemannian Manifold
  • Orthonormal Basis
  • Sectional Curvature
  • Fundamental Form
  • Principal Curvature

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References

  1. Lawson & Simons: On stable currents and their application to global problems in real and complex geometry. Ann. of Math. 98 (1973) pp. 427–450.

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  2. J. D. Moore: Codimension two submanifolds of positive curvature. Proc. of AMS 70 (1978) pp. 72–74.

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  3. R. T. Smith: The second variation formula for harmonic mappings. Proc. of AMS 47 (1975) pp. 229–236.

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  4. Y. L. Xin: Some results on stable harmonic maps. Duke Math. J. 47 (1980) pp. 609–613.

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© 1982 Springer-Verlag

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Leung, PF. (1982). On the stability of harmonic maps. In: Knill, R.J., Kalka, M., Sealey, H.C.J. (eds) Harmonic Maps. Lecture Notes in Mathematics, vol 949. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0069759

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  • DOI: https://doi.org/10.1007/BFb0069759

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11595-3

  • Online ISBN: 978-3-540-39360-3

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