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Second eigenvalue of the CR Yamabe operator
Communications in Contemporary Mathematics ( IF 1.2 ) Pub Date : 2020-11-30 , DOI: 10.1142/s0219199720500807
Flávio Almeida Lemos 1 , Ezequiel Barbosa 2
Affiliation  

Let (M,𝜃) be a compact, connected, strictly pseudo-convex CR manifold. In this paper, we give some properties of the CR Yamabe Operator L𝜃. We present an upper bound for the Second CR Yamabe Invariant, when the First CR Yamabe Invariant is negative, and the existence of a minimizer for the Second CR Yamabe Invariant, under some conditions.

中文翻译:

CR Yamabe算子的第二个特征值

(,𝜃)是一个紧凑的、连通的、严格的伪凸 CR 流形。在本文中,我们给出了 CR Yamabe 算子的一些性质大号𝜃. 我们提出了第二个 CR Yamabe 不变量的上限,当第一个 CR Yamabe 不变量为负时,并且在某些条件下存在第二个 CR Yamabe 不变量的最小化器。
更新日期:2020-11-30
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