APPROXIMATION OF REGULAR SASAKIAN MANIFOLDS

被引：1
|
作者：
Placini, Giovanni [1 ]
机构：
[1] Univ Cagliari, Dipartimento Matemat & Informat, Cagliari, Italy
来源：
PACIFIC JOURNAL OF MATHEMATICS | 2023年 / 327卷 / 01期
关键词：
Sasakian structure approximation; CR immersions; eta-Einstein manifolds; Bergman kernel; PROJECTIVE EMBEDDINGS; SCALAR CURVATURE; METRICS;
D O I：
10.2140/pjm.2023.327.167
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We investigate the problem of approximating a regular Sasakian structure by CR immersions in a standard sphere. Namely, we show that this is always possible for compact Sasakian manifolds. We prove an approximation result for noncompact eta-Einstein manifolds via immersions in the infinitedimensional sphere and complement this with several examples.
引用
收藏
页码：167 / 181
页数：20
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