The characterization of strictly parabolic manifolds

Wilhelm Stoll

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1980)

  • Volume: 7, Issue: 1, page 87-154
  • ISSN: 0391-173X

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Stoll, Wilhelm. "The characterization of strictly parabolic manifolds." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 7.1 (1980): 87-154. <http://eudml.org/doc/83834>.

@article{Stoll1980,
author = {Stoll, Wilhelm},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {Monge-Ampere-equation; characterization of strictly parabolic spaces; biholomorphic isometry},
language = {eng},
number = {1},
pages = {87-154},
publisher = {Scuola normale superiore},
title = {The characterization of strictly parabolic manifolds},
url = {http://eudml.org/doc/83834},
volume = {7},
year = {1980},
}

TY - JOUR
AU - Stoll, Wilhelm
TI - The characterization of strictly parabolic manifolds
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1980
PB - Scuola normale superiore
VL - 7
IS - 1
SP - 87
EP - 154
LA - eng
KW - Monge-Ampere-equation; characterization of strictly parabolic spaces; biholomorphic isometry
UR - http://eudml.org/doc/83834
ER -

References

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  1. [1] A. Andreotti - W. Stoll, Analytic and algebraic dependence of meromorphic functions, Lecture Notes in Mathematics, no. 234, Springer-Verlag, Berlin- Heidelberg - New York (1971). Zbl0222.32013MR390298
  2. [2] E. Bedford - B.A. Taylor, The Dirichlet problem for a comptex Monge-Ampère equation, Bull. Amer. Math. Soc., 82 (1976), pp. 102-104. Zbl0322.31008MR393574
  3. [3] E. Bedford - B.A. Taylor, The Dirichlet problem for a complex Monge-Ampère equation, Proc. Symp. Pure Math., 30 (1977), pp. 109-113. Zbl0356.31007MR457775
  4. [4] E. Bedford - M. Kalka, Foliations and complex Monge-Ampère equations, Comm. Pure Appl. Math., 30 (1977), pp. 510-538. Zbl0351.35063MR481107
  5. [5] E. Bedford - B.A. Taylor, Variational properties of the comptex Monge-Ampère equation, preprint. 
  6. [6] E. Bedford - D. Burns, Holomorphic mapping of annuli in Cn and the associated extremal function, Ann. Scuola Norm. Sup. Pisa, 6 (1979), pp. 381-414. Zbl0422.32021MR553791
  7. [7] S.S. Chern - H. Levine - L. Nirenberg, Intrinsic norms on a complex manifold. Global Analysis (Papers in Honor of K. Kodaira), Univ. of Tokyo Press, Tokyo (1969), pp. 119-139. Zbl0202.11603MR254877
  8. [8] M. Cowen - PH. GRIFFITHS, Holomorphic curves and metrics of nonnegative curvature, J. Analyse Math., 29 (1976), pp. 93-152. Zbl0352.32014MR508156
  9. [9] R.E. Greene - H. Wu, Analysis on noncompact Kähler manifolds, Proc. Symp. Pure Math., 30 (1977), pp. 69-100. Zbl0383.32005MR460699
  10. [10] PH. Griffiths - J. King, Nevanlinna theory and holomorphic mappings between algebraic varieties, Acta Math., 130 (1973), pp. 145-220. Zbl0258.32009MR427690
  11. [11] D. Gromoll - W. Klingenberg - W. Meyer, Riemannsche Geometrie im Grossen, Lecture Notes in Mathematics, no. 55, Springer-Verlag, Berlin - Heidelberg - New York (1968). Zbl0155.30701MR229177
  12. [12] S. Kobayashi - K. Nomizu, Foundations of differential geometry, Interscience Tract. Pure Appl. Math., 15, John Wiley's and Sons, New York - London- Sydney, vol. 1 (1963), vol. 2 (1969). Zbl0175.48504
  13. [13] M. Kervaire - J. Milnor, Groups of homotopy spheres I, Ann. of Math., (2), 77 (1963), pp. 504-537. Zbl0115.40505MR148075
  14. [14] J. Morrow - K. Kodaira, Complex Manifolds, Holt, Rinehardt and Winston, New York (1971). Zbl0325.32001MR302937
  15. [15] Y.T. Siu - S.T. Yau, Complete Kähler manifolds with nonpositive curvature of faster than quadratic decay, Ann. of Math., 105 (1977), pp. 255-264. Zbl0358.32006MR437797
  16. [16] W. Stoll, Value distribution on parabolic spaces, Lecture Notes in Mathematics, no. 600, Springer-Verlag, Berlin - Heidelberg - New York (1977). Zbl0367.32001MR450626
  17. [17] W. Stoll, Variétés strictement paraboliques, C. R. Acad. Sc. Paris, 285 (1977), Sér. A, pp. 757-759. Zbl0418.32005MR457793
  18. [18] P.M. Wong, Defect relations for meromorphic maps on parabolic manifolds, preprint. 
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  20. [20] S.-T. Yau, Calabi's conjecture and some results in algebraic geometry, Proc. Nat. Acad. Sci. USA, 74 (1977), pp. 1794-1798. Zbl0355.32028MR451180
  21. [21] S.-T. Yau, Curvature of a compact Kähler manifold and the complex Monge-Ampère equation I, Comm. Pure Appl. Math., 31 (1978), pp. 340-412. Zbl0369.53059MR480350

Citations in EuDML Documents

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  1. Wilhelm Stoll, The characterization of strictly parabolic spaces
  2. Eric Bedford, Dan Burns, Holomorphic mapping of annuli in C n and the associated extremal function
  3. D. Burns, Les équations de Monge-Ampère homogènes, et des exhaustions spéciales de variétés affines
  4. Giorgio Patrizio, On holomorphic maps between domains in C n
  5. Jean-Pierre Demailly, Mesures de Monge-Ampère et caractérisation géométrique des variétés algébriques affines
  6. Giorgio Patrizio, Foliazioni di Monge-Ampère e classificazione olomorfa

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