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Holomorphicity of minimal submanifolds in complex space forms

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References

  1. Abe, K.: Some remarks on a class of submanifolds in space forms of non-negative curvature. Math. Ann.247, 275–278 (1980)

    Google Scholar 

  2. Chern, S.S, Wolfson, J.G.: Minimal surfaces by moving frames. Am. J. Math.105, 59–83 (1983)

    Google Scholar 

  3. Dajczer, M.: A characterization of complex hypersurfaces inC m. Preprint

  4. Dajczer, M., Gromoll, D.: Real Kaehler submanifolds and uniqueness of the Gauss map. J. Differ. Geom.22, 13–28 (1985)

    Google Scholar 

  5. Dajczer, M., Rodríguez, L.: Rigidity of real Kaehler submanifolds. Duke Math. J.53, 211–220 (1986)

    Google Scholar 

  6. Eschenburg, J.H., Guadalupe, I.V., Tribuzy, R.: The fundamental equations of minimal surfaces inCP 2. Math. Ann.270, 571–598 (1985)

    Google Scholar 

  7. Ferus, D.: Symmetric submanifolds of Euclidean space. Math. Ann.247, 81–93 (1980)

    Google Scholar 

  8. Naitoh, H.: Parallel submanifolds of complex space forms. I. Nagoya Math. J.90, 85–117 (1983)

    Google Scholar 

  9. Rawnsley, J.:f-structures,f-twistor spaces and harmonic maps. In: Lect. Notes Math. 1164. Berlin, Heidelberg, New York: Springer 1986

    Google Scholar 

  10. Siu, Y.T.: The complex analyticity of harmonic maps and the strong rigidity of compact Kähler manifolds. Ann. Math.112, 73–111 (1981)

    Google Scholar 

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

    Google Scholar 

  12. Tai, S.S.: Minimum imbeddings of compact symmetric spaces of rank one. J. Differ. Geom.2, 55–66 (1968)

    Google Scholar 

  13. Udagawa, S.: Minimal immersions of Kähler manifolds into complex space forms. Preprint

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Dajczer, M., Thorbergsson, G. Holomorphicity of minimal submanifolds in complex space forms. Math. Ann. 277, 353–360 (1987). https://doi.org/10.1007/BF01458320

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  • DOI: https://doi.org/10.1007/BF01458320

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