Renormalized characteristic forms of the Cheng-Yau metric and global CR invariants
Renormalized characteristic forms of the Cheng-Yau metric and global CR invariants
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Cheng-Yau 度量和全局 CR 不变量的重整化特征形式
DOI：
10.1016/j.aim.2020.107468
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发表时间：
2021
影响因子：
1.7
通讯作者：
Taiji Marugame
中科院分区：
文献类型：
--
作者：
Kikuta Kohei;Ouchi Genki;Takahashi Atsushi;Cavallina Lorenzo;Taiji Marugame
对于每个不变多项式Φ，我们通过严格伪凸域上郑-尤度量的重整化特征形式构造了一个全局CR不变量。当Φ次数为0时，不变量与全q‘-曲率一致。当次数等于CR维时，我们构造了一个与相应的CR不变量整合的素伪厄米特不变量IΦ‘。这些是Case-Gover提出的CR5-流形上I‘-曲率的推广。
For each invariant polynomial Φ, we construct a global CR invariant via the renormalized characteristic form of the Cheng–Yau metric on a strictly pseudoconvex domain. When the degree of Φ is 0, the invariant agrees with the total Q′-curvature. When the degree is equal to the CR dimension, we construct a primed pseudo-hermitian invariant I Φ′ which integrates to the corresponding CR invariant. These are generalizations of the I′-curvature on CR five-manifolds, introduced by Case–Gover.