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Some stability results of harmonic map from a manifold with boundary

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1255)

Keywords

  • Sectional Curvature
  • Minimal Submanifold
  • Dimensional Riemannian Manifold
  • Deformation Vector
  • Vector Field Versus

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References

  1. Eells, J. & Lemaire, L., A report on harmonic maps, Bull. London Math. Soc., 10 (1978), 1–68.

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  2. Hamilton, R. S., Harmonic maps of manifolds with boundary, Springer Lecture Notes, 471, 1975.

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  3. Yau, S. T., Survey on partial differential equations in differential geometry, Seminar on diff. geom. study 101, 1982, Princeton.

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  4. Aubin, T., Nonlinear analysis on manifolds, Monge-Ampere equations, Grundlehren der Mathematischen Wissenschaften, 252, 1982.

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  5. Michael, J. H. & Simon, L. M., Sobolev and mean-value inequalities on generalized submanifolds of Rn, Comm. Pure. Appl. Math., 26 (1973), 361–379.

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  6. Ruh, E. A. & Vilms, J., The tension field of the Gauss map, Trans. A. M. S., 149 (1970), 569–573.

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  7. Ishihara, T., The harmonic Gauss maps in a generalized sense, J. London Math. Soc., (2) 26(1982), 104–112.

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© 1987 Springer-Verlag

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Pan, Y., Shen, Y. (1987). Some stability results of harmonic map from a manifold with boundary. In: Gu, C., Berger, M., Bryant, R.L. (eds) Differential Geometry and Differential Equations. Lecture Notes in Mathematics, vol 1255. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0077683

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  • DOI: https://doi.org/10.1007/BFb0077683

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-17849-1

  • Online ISBN: 978-3-540-47883-6

  • eBook Packages: Springer Book Archive