References
Bedford, E., Burns, D.: Holomorphic mapping of annali in ℂn and the associated extremal function. Annali Scuola Norm. Sup. Pisa,VI, (No. 3) 381–414 (1979)
Bedford, E., Kalka, M.: Foliations and complex Monge-Ampère equations. Comm. Pure and Appl. Math.30, 543–571 (1977)
Bott, R., Gitler, S., James, I.M.: Lectures on algebraic and differential topology. Lecture Notes in Mathematics Vol. 279, Berlin-Heidelberg-New York: Springer 1972
Burns, D.: Curvatures of Monge-Ampère foliations and parabolic manifolds, preprint
Cheeger, J., Ebin, D.: Comparison theorems in Riemannian geometry. North Holland Publ. Co. 1975
Greene, R.E., Wu, H.: Function theory on manifolds which possess a Pole. Lecture Notes Vol. 699. Berlin-Heidelberg-New York: Springer 1979
Griffiths, P., Harris, J.: Principles of algebraic geometry. New York: John Wiley & Sons, Inc. 1978
Harvey, R., Wells, R.O.: Zero sets of non-negative strictly plurisubharmonic functions. Math. Ann.201, 165–170 (1973)
Hicks, N.: Note on differential geometry. van Nostrand, 1971
Kobayashi, S.: Transformation groups in differential geometry. Ergeb. der Math. Band 70. Berlin-Heidelberg-New York: Springer 1972
Kobayashi, S., Nomizu, K.: Foundations of differential geometry, Vol. II. New York: John Wiley & Sons, Inc. 1969
Milnor, J.: Lectures on morse theory. Ann. Math. Studies, No. 51, Princeton University Press, 1963
Siu, Y.T., Yau, S.T.: Complete Kähler manifolds with non-positive curvature of faster than quadratic decay. Ann. Math.105, 255–264 (1977)
Stoll, W.: The characterization of strictly parabolic manifolds. Ann. Scuola Norm. Sup. Pisa,VII, 87–154 (1980)
Yano, K.: Integral formulas in Riemannian geometry. New York: Marcel Dekker, Inc. 1970
Kamber, F., Tondeur, P.:G-foliations and their characteristic classes. BAMS84 (no. 6), 1086–1124 (1978)
Yau, S.T.: On the Ricci curvature of compact Kähler manifolds and complex Monge-Ampère equations, I. Comm. Pure Appl. Math.31, 339–411 (1978)
Webster, S.M.: Pseudo-hermitian structures on a real hypersurface. J. Diff. Geom.13, 25–41 (1978)
Author information
Authors and Affiliations
Additional information
Partially supported by NSF grant # MCS 79-02571
Rights and permissions
About this article
Cite this article
Wong, PM. Geometry of the complex homogeneous Monge-Ampère equation. Invent Math 67, 261–274 (1982). https://doi.org/10.1007/BF01393818
Issue Date:
DOI: https://doi.org/10.1007/BF01393818