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Harmonic maps in Kähler geometry

Part of the Lecture Notes in Mathematics book series (LNMCIME,volume 1161)

Keywords

  • Riemann Surface
  • Negative Curvature
  • Curvature Term
  • Minimal Immersion
  • Hermitian Symmetric Space

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References

  1. S. Bochner, Curvature in hermitian metric, Bull. Amer. Math. Soc. 53 (1947), 179–195.

    CrossRef  MATH  MathSciNet  Google Scholar 

  2. E. Calabi and E. Vesentini, On compact, locally symmetric Kähler manifolds, Ann. Math. 71 (1960), 472–507.

    CrossRef  MATH  MathSciNet  Google Scholar 

  3. J. Eells and J.H. Sampson, Harmonic mappings of Riemannian manifolds, Amer. J. Math. 86 (1964), 109–160.

    CrossRef  MATH  MathSciNet  Google Scholar 

  4. P. Hartman, On homotopic harmonic maps, Can. J. Math. 19 (1967), 673–687.

    CrossRef  MATH  MathSciNet  Google Scholar 

  5. G.D. Mostow, Strong Rigidity of Locally Symmetric Spaces, Ann. of Math. Studies 78, Princeton, 1973.

    Google Scholar 

  6. J.H. Sampson, Some properties and applications of harmonic mappings, Ann. Scient. Ecole Norm. Sup., 4e Série, 11 (1978), 211–228.

    MATH  MathSciNet  Google Scholar 

  7. J.H. Sampson, On harmonic mappings, Symp. Math. XXVI (1982), 197–210.

    MathSciNet  Google Scholar 

  8. A. Selberg, On discontinuous groups in higher-dimensional symmetric spaces, Contributions to Function Theory, Bombay (1960), 147–164.

    Google Scholar 

  9. Y.-T. Siu, Complex analyticity of harmonic maps and strong rigidity of complex Kähler manifolds, Ann. Math. 112 (1980), 73–111.

    CrossRef  MATH  MathSciNet  Google Scholar 

  10. Y.-T. Siu, Complex analyticity of harmonic maps, vanishing and Lefschetz theorems, J. Diff. Geom. 17 (1982), 55–138.

    MATH  MathSciNet  Google Scholar 

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© 1985 Springer-Verlag Berlin Heidelberg

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Sampson, J.H. (1985). Harmonic maps in Kähler geometry. In: Giusti, E. (eds) Harmonic Mappings and Minimal Immersions. Lecture Notes in Mathematics, vol 1161. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0075138

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  • DOI: https://doi.org/10.1007/BFb0075138

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-16040-3

  • Online ISBN: 978-3-540-39716-8

  • eBook Packages: Springer Book Archive