It is proved that if is a weakly 1-complete Kähler manifold with only one end, then or there exists a proper holomorphic mapping of onto a Riemann surface.
On démontre que si est une variété kählérienne faiblement 1-complète avec un seul bout, alors ou bien il existe une application holomorphe propre de sur une surface de Riemann.
@article{AIF_1997__47_5_1345_0, author = {Napier, Terence and Ramachandran, Mohan}, title = {The {Bochner-Hartogs} dichotomy for weakly 1-complete {K\"ahler} manifolds}, journal = {Annales de l'Institut Fourier}, pages = {1345--1365}, publisher = {Association des Annales de l{\textquoteright}institut Fourier}, volume = {47}, number = {5}, year = {1997}, doi = {10.5802/aif.1602}, mrnumber = {99e:32012}, zbl = {0904.32008}, language = {en}, url = {http://archive.numdam.org/articles/10.5802/aif.1602/} }
TY - JOUR AU - Napier, Terence AU - Ramachandran, Mohan TI - The Bochner-Hartogs dichotomy for weakly 1-complete Kähler manifolds JO - Annales de l'Institut Fourier PY - 1997 SP - 1345 EP - 1365 VL - 47 IS - 5 PB - Association des Annales de l’institut Fourier UR - http://archive.numdam.org/articles/10.5802/aif.1602/ DO - 10.5802/aif.1602 LA - en ID - AIF_1997__47_5_1345_0 ER -
%0 Journal Article %A Napier, Terence %A Ramachandran, Mohan %T The Bochner-Hartogs dichotomy for weakly 1-complete Kähler manifolds %J Annales de l'Institut Fourier %D 1997 %P 1345-1365 %V 47 %N 5 %I Association des Annales de l’institut Fourier %U http://archive.numdam.org/articles/10.5802/aif.1602/ %R 10.5802/aif.1602 %G en %F AIF_1997__47_5_1345_0
Napier, Terence; Ramachandran, Mohan. The Bochner-Hartogs dichotomy for weakly 1-complete Kähler manifolds. Annales de l'Institut Fourier, Volume 47 (1997) no. 5, pp. 1345-1365. doi : 10.5802/aif.1602. http://archive.numdam.org/articles/10.5802/aif.1602/
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