完备严格伪凸CR流形上的塞格核渐近性
Szegő Kernel Asymptotics on Complete Strictly Pseudoconvex CR Manifolds.
作者信息
Hsiao Chin-Yu, Marinescu George, Wang Huan
机构信息
Institute of Mathematics, Academia Sinica, Taipei, Taiwan.
Mathematisches Institut, Universität zu Köln, Weyertal 86-90, 50931 Köln, Germany.
出版信息
J Geom Anal. 2022;32(11):266. doi: 10.1007/s12220-022-00990-4. Epub 2022 Aug 18.
Abstract
We prove a Bochner-Kodaira-Nakano formula and establish Szegő kernel expansions on complete strictly pseudoconvex CR manifolds with transversal CR -action under certain natural geometric conditions. As a consequence we show that such manifolds are locally CR embeddable.
摘要
我们证明了一个博赫纳 - 小平 - 中野公式，并在某些自然几何条件下，在具有横向 CR 作用的完备严格伪凸 CR 流形上建立了塞戈核展开式。由此我们表明，这类流形是局部 CR 可嵌入的。
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