On the geometry of affine Kähler immersions
On the geometry of affine Kähler immersions
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关于仿射凯勒浸没的几何
DOI：
10.1017/s0027763000003342
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发表时间：
1990
影响因子：
0.8
通讯作者：
F. Podestà
中科院分区：
文献类型：
--
作者：
K. Nomizu;U. Pinkall;F. Podestà
本文将仿射浸入[N-Pi]-1的研究推广到复杂流形之间的仿射浸入，为仿射浸入Kähler的几何研究奠定了基础。仿射Kähler浸没的概念扩展了Kähler流形之间全纯和等距浸没的概念，可以与Dillen， Vrancken和Verstraelen [D-V-V]和Abe [a]的工作中建立的全纯仿射浸没的概念形成对比。
In this paper we extend the work on affine immersions [N-Pi]-1 to the case of affine immersions between complex manifolds and lay the foundation for the geometry of affine Kähler immersions. The notion of affine Kähler immersion extends that of a holomorphic and isometric immersion between Kähler manifolds and can be contrasted to the notion of holomorphic affine immersion which has been established in the work of Dillen, Vrancken and Verstraelen [D-V-V] and that of Abe [A].