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Stein manifolds with compact symmetric center

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References

  1. Alexander, H.: Projective capacity. In: Fornaess, J.E. (ed.) Recent developments in several complex variables. Ann. Math. Stud.100, 3–27 (1981)

    Google Scholar 

  2. Azad, H.: Levi-curvature of manifolds with a Stein rational fibration. Manuscr. Math.50, 269–311 (1985)

    Google Scholar 

  3. Besse, A.: Manifolds all whose geodesics are closed. Ergeb. Math. Berlin Heidelberg New York: Springer 1975

    Google Scholar 

  4. Burns, D.: Curvatures of Monge-Ampère foliations and parabolic manifolds. Ann. Math.115, 349–373 (1982)

    Google Scholar 

  5. Demailly, J.P.: Mesures de Monge-Ampère et caractérisation géométrique des variétés algébriques affines. Bull. Soc. Math. Fr.19 (1985)

  6. Hormander, L.: An introduction to complex analysis in several complex variables. London: Van Nostrand 1967

    Google Scholar 

  7. Harvey, R., Wells, R.O.: Zero sets of non-negative strictly plurisubharmonic functions. Math. Ann.201, 165–170 (1973)

    Google Scholar 

  8. Huckleberry, A., Snow, D.: A classification of strictly pseudoconcave homogeneous manifold. Ann. Scuola Norm. Sup. Pisa, Ser V8, 231–255 (1981)

    Google Scholar 

  9. Lempert, L.: Elliptic and hyperbolic tubes. In: Proceedings of the special year in Complex Analysis at the Mittag-Leffler Institut, Princeton University Press

  10. Lundin, M.: The extremal plurisubharmonic function for complex symmetric subset ofR n. Mich. Math. J.32, 197–201 (1985)

    Google Scholar 

  11. Morimoto, A., Nagano, T.: On pseudoconformal transformations of hypersurfaces. J. Math. Soc. Japan15, 289–300 (1963)

    Google Scholar 

  12. Patrizio, G.: A Caracterization of complex manifolds biholomorphic to a circular domain. Math. Z.189, 343–363 (1985)

    Google Scholar 

  13. Patrizio, G., Wong, P.M.: Stability of the Monge-Ampère foliation. Math. Ann.263, 13–29 (1983)

    Google Scholar 

  14. Sibony, N., Wong, P.M.: Some results on global analytic sets. Séminaire Lelong, P., Skoda, H. (analyse) Années 1978/79. (Lect. Notes Math. vol. 822, pp. 222–237) Springer 1980

  15. Stoll, W.: The characterization of strictly parabolic manifolds. Ann. Scuola Norm. Sup. Pisa, Ser IV,7, 87–154 (1980)

    Google Scholar 

  16. Vitter, A.: On the curvature of complex hypersurfaces. Indiana Univ. Math. J.23, 813–826 (1974)

    Google Scholar 

  17. Wong, P.M.: Geometry of the homogeneous complex Monge-Ampère equation. Invent. Math.67, 261–274 (1982)

    Google Scholar 

  18. Wong, P.M.: On umbilical hypersurfaces and uniformization of circular domains. Proc. Symp. Pure Math. AMS41, 225–252 (1984)

    Google Scholar 

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Research partially supported by the Italian MPI

Research supported by a Sloan Fellowship and NSF grant #87-02144 To Cecilia and Priscilla

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Patrizio, G., Wong, PM. Stein manifolds with compact symmetric center. Math. Ann. 289, 355–382 (1991). https://doi.org/10.1007/BF01446577

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