Bibliography
Ahlfors, L. V., An extension of Schwarz's lemma.Trans. Amer. Math. Soc., 43 (1938), 359–364.
Andreotti, A. &Grauert, H., Theorèmes de finitude pour la cohomologie des espaces complexes.Bull. Soc. Math. France, 90 (1962), 193–259.
Calabi, E., An extension of E. Hopf's maximum principle with an application to Riemannian geometry.Duke Math. J., 25 (1957), 45–56.
Cheeger, J. &Gromoll, D., The splitting theorem for manifolds of nonnegative curvature.J. Diff. Geom., 6 (1971), 119–128.
—, On the structure of complete manifolds of nonnegative curvature.Ann. of Math., 96 (1972), 413–443.
Eberlein, P. &O'Neill, B., Visibility manifolds,Pacific J. Math., 46 (1973), 45–109.
Elencwajg, G., Pseudoconvexité locale dans les variétés Kähleriennes.Annales de L'Institute Fourier, 25 (1976), 295–314.
Feller, W., Über die Lösungen der linearen partiellen Differentialgleichungen zweiter Ordnung vom elliptischen Typus.Math. Ann., 102 (1930), 641–653.
Greene, R. E. &Wu, H., On the subharmonicity and plurisubharmonicity of geodesically convex functions,Indiana Univ. Math. J., 22 (1973), 641–653.
—, Integrals of subharmonic functions on manifolds of nonnegative curvature.Inventiones Math., 27 (1974), 265–298.
—, Approximation theorems, C∞ convex exhaustions and manifolds of positive curvature.Bulletin Amer. Math. Soc., 81 (1975), 101–104.
—, Analysis on noncompact Kähler manifolds. InSeveral Complex Variables, Proc. Symposia Pure Math. Volume 30, Part 2, Amer. Math. Soc. Publications, Providence, R.I. (1977), 69–100.
—,C ∞ convex functions and manifolds of positive curvature.Acta Math., 137 (1976). 209–245.
—, On Käler manifolds of positive bisectional curvature and a theorem of Hartogs.Abh. Math. Sem. Univ. Hamburg, 47 (1978), 171–185.
Greene, R. E. & Wu, H.,C ∞ approximations of convex, subharmonic and plurisubharmonic functions.Ann. Sci. École Norm. Sup., to appear.
Narasimhan, R., The Levi problem for complex spaces II.Math. Ann., 146 (1962), 195–216.
Poor, W. A., Some results on nonnegatively curved manifolds.J. Diff. Geom., 9 (1974), 583–600.
Richeberg, R., Stetige streng pseudoconvexe Funktionen.Math. Ann., 175 (1968), 257–286.
Suzuki, O., Pseudoconvex domains on a Kähler manifold with positive holomorphic bisectional curvature.Publ. RIMS, Kyoto Univ. 12 (1976), 191–214.
Takeuchi, A., Domaines pseudoconvexes sur les variétés Kähleriennes.J. Math. Kyoto Univ., 6-3 (1967), 323–357.
Wu, H., On the volume of a noncompact manifold.Ark. Mat., to appear.
Yau, S. T., On the heat kernel of a complete Riemannian manifold.J. Math. Pures Appl., 57 (1978), 191–201.
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Work supported partially by the National Science Foundation.
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Wu, H. An elementary method in the study of nonnegative curvature. Acta Math 142, 57–78 (1979). https://doi.org/10.1007/BF02395057
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DOI: https://doi.org/10.1007/BF02395057