@article{CM_1981__44_1-3_183_0,
author = {Mok, Ngaiming and Siu, Yum-Tong and Yau, Shing-Tung},
title = {The {Poincar\'e-Lelong} equation on complete {K\"ahler} manifolds},
journal = {Compositio Mathematica},
pages = {183--218},
publisher = {Sijthoff et Noordhoff International Publishers},
volume = {44},
number = {1-3},
year = {1981},
mrnumber = {662462},
zbl = {0531.32007},
language = {en},
url = {http://archive.numdam.org/item/CM_1981__44_1-3_183_0/}
}
TY - JOUR AU - Mok, Ngaiming AU - Siu, Yum-Tong AU - Yau, Shing-Tung TI - The Poincaré-Lelong equation on complete Kähler manifolds JO - Compositio Mathematica PY - 1981 SP - 183 EP - 218 VL - 44 IS - 1-3 PB - Sijthoff et Noordhoff International Publishers UR - http://archive.numdam.org/item/CM_1981__44_1-3_183_0/ LA - en ID - CM_1981__44_1-3_183_0 ER -
%0 Journal Article %A Mok, Ngaiming %A Siu, Yum-Tong %A Yau, Shing-Tung %T The Poincaré-Lelong equation on complete Kähler manifolds %J Compositio Mathematica %D 1981 %P 183-218 %V 44 %N 1-3 %I Sijthoff et Noordhoff International Publishers %U http://archive.numdam.org/item/CM_1981__44_1-3_183_0/ %G en %F CM_1981__44_1-3_183_0
Mok, Ngaiming; Siu, Yum-Tong; Yau, Shing-Tung. The Poincaré-Lelong equation on complete Kähler manifolds. Compositio Mathematica, Tome 44 (1981) no. 1-3, pp. 183-218. http://archive.numdam.org/item/CM_1981__44_1-3_183_0/
[1] and , Carleman estimates for the Laplace-Beltrami operator on complex manifolds, Publ. Math. Inst. Hautes Etudes Sci. 25 (1965), 81-130. | Numdam | MR | Zbl
[2] and , Harnack's inequality for elliptic differential equations on minimal surfaces, Inv. math. 15 (1972), 24-46. | MR | Zbl
[3] and , The structure of complete manifolds of non-negative curvature, Bull. Am. Math. Soc. 74(6), 413-433. | MR | Zbl
[4] and , Differential equations on Riemannian manifolds and their geometric applications, Comm. Pure Appl. Math. Vol. 28 (1975), 333-354. | MR | Zbl
[5] , , and , Intrinsic norms on a complex manifold, Global analysis, (Papers in honor of K. Kodaira), Tokyo- University of Tokyo Press 1969, 119-139. | MR | Zbl
[6] , Some isoperimetric inequalities and consequences, to appear in Ann. Sci. Ec. Norm. Sup. Pisa.
[7] and , Function Theory on Manifolds which Possess a Pole, Vol. 669. Springer-Verlag, Berlin- Heidelberg-New York, 1979. | MR | Zbl
[8] , The Lewy equation and analysis on pseudoconvex manifolds, Russian Math. Surveys 32, 3 (1977), 59-130. | MR | Zbl
[9] , L2-estimates and existence theorems for the ∂-operator, Acta Math. 113 (1965), 89-152. | Zbl
[10] , On subharmonic functions and differential geometry in the large, Comm. Math. Helv. 32 (1957), 13-72. | MR | Zbl
[11] , Fonctions entières (n variables) et fonctions plurisousharmoniques d'ordre fini dans Cn, J. Anal. Math. 12 (1964), 365-407. | MR | Zbl
[12] , On Harnack's theorem for elliptic differential equations, Comm. Pure and Appl. Math 14 (1961), 577-591. | MR | Zbl
[13] and , Complete Kähler manifolds with non-positive curvature of faster than quadratic decay, Ann. Math. 105 (1977), 225-264. | MR | Zbl
[14] , Valeurs au bord pour les solutions de l'operateur d'' et caracterisation des zeros des fonctions de la classe de Navanlinna, Bull. Soc. Math. France 104 (1976), 225-299. | Numdam | MR | Zbl
[15] , Equations elliptiques du second ordre à coefficients discontinués, 1966 (Séminaire de Mathématiques Supérieures 16). | MR | Zbl
[16] , Harmonic functions on complete Riemannian manifolds, Comm. Pure Appl. Math. 28 (1975), 201-228. | MR | Zbl
[17] and , On the second cohomology group of a Kähler manifold of positive curvature, Proc. Amer. Math. Soc. 16 (1965), 119-122. | MR | Zbl
[18] and , Holomorphic bisectional curvature, J. Diff. Geom. 1 (1967), 225-233. | MR | Zbl
[19] and , On a new gap phenomenon in Riemannian geometry, preprint. | MR
