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Harmonic sections and equivariant harmonic maps

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References

  1. W. Ambrose & I.M. Singer,A theorem on holonomy, Trans. Amer. Math. Soc.79 (1953), 428–443.

    Article  MathSciNet  Google Scholar 

  2. W. Ambrose & I.M. Singer,On homogeneous Riemannian manifolds, Duke Math. Journal25 (1958), 647–669.

    Article  MATH  MathSciNet  Google Scholar 

  3. A. Besse, ‘Einstein Manifolds’, Ergebnisse der Mathematik und ihrer Grenzgebiete, Springer Verlag, Berlin, 1987.

    Google Scholar 

  4. S. Bochner,Vector fields and Ricci curvature, Bull. Amer. Math. Soc.52 (1946), 776–797.

    Article  MATH  MathSciNet  Google Scholar 

  5. S. Kobayashi & K. Nomizu, ‘Foundations of Differential Geometry’, Vols. I & II, J. Wiley, New York, 1966 & 1969.

    Google Scholar 

  6. J. Milnor,Curvatures of left-invariant metrics on Lie groups, Advances in Math.21 (1976), 293–329.

    Article  MATH  MathSciNet  Google Scholar 

  7. B. O’Neill,The fundamental equations of a submersion, Michigan Math. Journal13 (1966), 459–469.

    Article  MATH  MathSciNet  Google Scholar 

  8. E. Ruh & J. Vilms,The tension field of the Gauss map, Trans. Amer. Math. Soc.149 (1970), 569–573.

    Article  MATH  MathSciNet  Google Scholar 

  9. H. Samelson,On curvature and characteristic of homogeneous spaces, Michigan Math. Journal5 (1958), 13–18.

    Article  MATH  MathSciNet  Google Scholar 

  10. F. Tricerri & L. Vanhecke, ‘Homogeneous Structures on Riemannian Manifolds’, L.M.S. Lecture Note Series83, Cambridge University Press, Cambridge, 1983.

    MATH  Google Scholar 

  11. J. Vilms,Totally geodesic maps, J. Diff. Geom.4 (1970), 73–79.

    MATH  MathSciNet  Google Scholar 

  12. C. M. Wood,The Gauss section of a Riemannian immersion, J. London Math. Soc.33 (1986), 157–168.

    Article  MATH  MathSciNet  Google Scholar 

  13. C. M. Wood,Harmonic sections and Yang-Mills fields, Proc. London Math. Soc.54 (1987), 544–558.

    Article  MATH  MathSciNet  Google Scholar 

  14. C. M. Wood,An existence theorem for harmonic sections, Manuscripta Math.68 (1990), 69–75.

    Article  MATH  MathSciNet  Google Scholar 

  15. C. M. Wood,Instability of the nearly-Kähler six-sphere, J. Reine Angew. Math.439 (1993), 205–212.

    MATH  MathSciNet  Google Scholar 

  16. C. M. Wood,A class of harmonic almost-product structures, J. Geometry & Physics14 (1994), 25–42.

    Article  MATH  Google Scholar 

  17. C. M. Wood,Harmonic almost-complex structures, Compositio Math.99 (1995), 183–212.

    MATH  MathSciNet  Google Scholar 

  18. C. M. Wood,On the energy of a unit vector field, Geometriae Dedicata (in press).

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  1. Department of Mathematics, University of York, Y01 5DD, Heslington, York, U.K.

    C. M. Wood

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  1. C. M. Wood
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Wood, C.M. Harmonic sections and equivariant harmonic maps. Manuscripta Math 94, 1–13 (1997). https://doi.org/10.1007/BF02677834

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  • DOI: https://doi.org/10.1007/BF02677834

1980 Mathematics Subject Classification (1985 Revision)

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