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(1,1)-geodesic maps into grassmann manifolds

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References

  • [B] F. Burstall,Minimal surfaces in quaternionic symmetric spaces. Geometry of low-dimensional manifolds, Cambridge University Press 1990, pp. 231–235

  • [BS] F. Burstall and S. Salomon,Tournaments, flags and harmonic maps, Math. Ann.277 (1987), 249–265

    Article  MATH  MathSciNet  Google Scholar 

  • [DG] M. Dacjzer and D. Gromoll,Real Kähler submanifolds and uniqueness of the Gauss map, J. Diff. Geom.22 (1985), 13–28

    Google Scholar 

  • [DR] M. Dacjzer and L. Rodrigues,Rigidity of real Kähler submanifolds, Duke Math. J.53 (1986), 211–220

    Article  MathSciNet  Google Scholar 

  • [DT] M. Dacjzer and G. Thorbergsson,Holomorphicity of minimal submanifolds in complex space forms. Math. Ann.277 (1987), 353–360

    Article  MathSciNet  Google Scholar 

  • [ET] J.-H. Eschenburg and R. Tribuzy:(2,0)-geodesic immersions of Kähler manifolds, preprint

  • [EW] J. Eells and J. C. Wood,Harmonic maps from surfaces to complex projective spaces, Adv. in Math.49 (1983), 217–263

    Article  MATH  MathSciNet  Google Scholar 

  • [ErW] S. Erdem and J. C. Wood,On the construction of harmonic maps into a Grassmannian, J. London Math. Soc. (2)28 (1983), 161–174

    Article  MATH  MathSciNet  Google Scholar 

  • [FRT] M. J. Ferreira, M. Rigoli and R. Tribuzy,Isometric immersions of Kähler manifolds, Preprint ICTP, Trieste, No. IC/90/66 (1990), to appear in Bull. Soc. Math. Belg.

  • [F] D. Ferus,Symmetric submanifolds of Euclidean space, Math. Ann.246 (1980), 81–93

    Article  MathSciNet  Google Scholar 

  • [K] P. Z. Kobak,Quaternionic Geometry and Harmonic Maps, Thesis Oxford 1993

  • [OU] Y. Ohnita and S. Udagawa,Complex-analyticity of pluriharmonic maps and their constructions, Springer Lecture Notes in Mathematics1468 (1991),Prospects in Complex Geometry, ed. J. Noguchi and T. Ohsawa, 371–407

  • [RT] M. Rigoli and R. Tribuzy, The Gauss map for Kählerian submanifolds of ℝn Transactions A. M.S.332 (1992), 515–528

    Article  MATH  MathSciNet  Google Scholar 

  • [S] J. H. Sampson,Applications of harmonic maps to Kähler geometry, Contemp. Math.49 (1986), 125–134

    MATH  MathSciNet  Google Scholar 

  • [Si] Y. S. Siu,Complex-analyticity of harmonic maps, vanishing and Lefschetz theorems J. Differential Geometry17 (1982), 55–138

    MATH  MathSciNet  Google Scholar 

  • [U] S. Udagawa,Holomorphicity of certain stable harmonic maps and minimal immersions, Proc. London Math. Soc. (3)57 (1987), 577–598

    Article  MathSciNet  Google Scholar 

  • [Ws] J. G. Wolfson,Harmonic sequences and harmonic maps of surfaces into complex Grassmann manifolds, J. Diff. Geom.27 (1988), 161–178

    MATH  MathSciNet  Google Scholar 

  • [W] J. C. Wood,The explicit construction and parametrization of all harmonic maps from the two-sphere to a complex Grassmannian, J. reine angew. Math.386 (1988), 1–31

    MATH  MathSciNet  Google Scholar 

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Authors and Affiliations

  1. Institut für Mathematik, Universität Augsburg, D-86135, Augsburg, Germany

    J. H. Eschenburg

  2. Instituto de Matemática, ICE, Universidade do Amazonas, 69000, Manaus, AM, Brasil

    R. Tribuzy

Authors
  1. J. H. Eschenburg
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  2. R. Tribuzy
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Eschenburg, J.H., Tribuzy, R. (1,1)-geodesic maps into grassmann manifolds. Math Z 220, 337–346 (1995). https://doi.org/10.1007/BF02572619

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  • DOI: https://doi.org/10.1007/BF02572619

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