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Stability of the Monge-Ampère foliation. (English) Zbl 0512.32013

##### MSC:
 32U05 Plurisubharmonic functions and generalizations 57R30 Foliations in differential topology; geometric theory 37C85 Dynamics induced by group actions other than $$\mathbb{Z}$$ and $$\mathbb{R}$$, and $$\mathbb{C}$$ 32H99 Holomorphic mappings and correspondences 57R35 Differentiable mappings in differential topology 32A07 Special domains in $${\mathbb C}^n$$ (Reinhardt, Hartogs, circular, tube) (MSC2010)
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##### References:
 [1] Bedford, E., Kalka, M.: Foliations and complex Monge-Ampère equations. Comm. Pure Appl. Math.30, 543-571 (1977) · Zbl 0351.35063 [2] Bedford, E., Taylor, B.A.: Variational properties of the complex Monge-Ampère equation. II. intrinsic norms. Am. J. Math.101, 1131-1166 (1977) · Zbl 0446.35025 [3] Braun, R., Kaup, W., Upmeier, H.: On the automorphisms of circular and Reinhardt domains in complex Banach spaces. Manuscripta Math.25, 97-133 (1978) · Zbl 0398.32001 [4] Burns, D.: Curvatures of Monge-Ampère foliations and parabolic manifolds (preprint) · Zbl 0507.32011 [5] Burns, D., Shnider, S.: Real hypersurfaces in complex manifolds. Proc. Symp. Pure Math.30, 141-168 (1977) · Zbl 0422.32016 [6] Chern, S.S., Moser, J.: Real hypersurfaces in complex manifolds. Acta Math.133, 219-271 (1975) · Zbl 0302.32015 [7] Edwards, R., Millett, K., Sullivan, D.: Foliations with all leaves compact. Topology16, 13-32 (1977) · Zbl 0356.57022 [8] Goldberg, S.I., Kobayashi, S.: On holomorphic bisectional curvature. J. Differential Geometry1 225-233 (1967) · Zbl 0169.53202 [9] Greene, R., Krantz, S.: Deformation of complex structures, estimates for the $$\bar \partial$$ equation, and stability of the Bergman kernel (preprint) · Zbl 0504.32016 [10] Greene, R., Wu, H.: Function theory on manifolds which possess a pole. In: Lecture Notes in Mathematics, Vol. 699. Berlin, Heidelberg, New York: Springer 1979 · Zbl 0414.53043 [11] Kobayashi, S.: Negative vector bundles and complex Finsler structure. Nagoya Math. J.57, 153-166 (1975) · Zbl 0326.32016 [12] Lempert, L.: Le metrique de Kobayeshi et la representation des domains sur la boule (preprint) [13] Milnor, J.: Lectures on Morse theory. Ann. Math. Studies, No. 51. Princeton. Princeton University Press 1963 · Zbl 0108.10401 [14] Siu, Y.T.: Curvature characterization of hyperquadrics. Duke Math. J.47, 641-654 (1980) · Zbl 0468.53054 [15] Siu, Y.T., Yau, S.T.: Compact Kähler manifolds of positive bisectional curvature. Invent. Math.59, 189-204 (1980) · Zbl 0442.53056 [16] Stoll, W.: The characterization of strictly parabolic manifolds. Ann. Scuola Norm. Sup. Pisa, Ser. IV.7, 87-154 (1980) · Zbl 0438.32005 [17] Stoll, W.: The characterization of strictly parabolic spaces. Compositio Math. (1981) · Zbl 0487.32005 [18] Sunada, T.: Holomorphic equivalence problem for bounded Reinhart domains. Math. Ann.235, 111-128 (1978) · Zbl 0371.32001 [19] Webster, S.: On the mapping problem for algebraic real hypersurfaces. Invent. Math.43, 53-68 (1977) · Zbl 0355.32026 [20] Webster, S.: Pseudo-hermitian structures on a real hypersurface. J. Differential Geometry13, 235-250 (1978) · Zbl 0379.53016 [21] Webster, S.: On the pseudo-conformal geometry of a Kähler manifold. Math. Z.157, 265-270 (1977) · Zbl 0363.53012 [22] Wong, P.M.: Geometry of the homogeneous complex Monge-Ampère equation. Invent. Math.67, 261-274 (1982) · Zbl 0555.32009
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