庞加莱-勒隆方程 参考文献 导航菜单The Poincaré–Lelong equation on complete Kähler manifoldsISSN 0010-437X662462ISSN 0021-76700166391

复流形偏微分方程


英文皮埃尔·勒隆偏微分方程凯勒流形




庞加莱-勒隆方程 (英文：Poincaré–Lelong equation)，该方程由皮埃尔·勒隆于1964年研究。在数学上，该方程是一个偏微分方程。


i∂∂¯u=ρdisplaystyle ipartial overline partial u=rho

在凯勒流形中，ρ是正(1,1)-形式。



参考文献



  • Mok, Ngaiming; Siu, Yum Tong; Yau, Shing Tung, The Poincaré–Lelong equation on complete Kähler manifolds, Compositio Mathematica, 1981, 44 (1): 183–218, ISSN 0010-437X, MR662462 


  • Lelong, Pierre, Fonctions entières (n variables) et fonctions plurisousharmoniques d'ordre fini dans Cn, Journal d'Analyse Mathématique, 1964, 12: 365–407, ISSN 0021-7670, MR0166391 


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