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Second eigenvalue of the CR Yamabe operator

Departamento de Matemática, Universidade Federal de Ouro Preto – UFOP, Ouro Preto, MG, Brazil

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Departamento de Matemática, Universidade Federal de Minas Gerais, Caixa Postal 702, 30123-970, Belo Horizonte, MG, Brazil

E-mail Address: ezequiel@mat.ufmg.br

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https://doi.org/10.1142/S0219199720500807Cited by:0 (Source: Crossref)

Abstract

Let $(M, 𝜃)$ $(M, 𝜃)$ be a compact, connected, strictly pseudo-convex CR manifold. In this paper, we give some properties of the CR Yamabe Operator $L_{𝜃}$ $L_{𝜃}$ . 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.

Keywords:

AMSC: 51Mxx, 53A30, 58Jxx

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