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Open AccessArticle

by Jong Taek Cho

Mathematics 2020, 8(9), 1583; https://doi.org/10.3390/math8091583 - 14 Sep 2020

Viewed by 3384

We prove that a contact strongly pseudo-convex CR (Cauchy–Riemann) manifold

M^{2 n + 1}

n \geq 2

, is locally pseudo-Hermitian symmetric and satisfies

\nabla_{ξ} h = μ h ϕ

μ \in R

, if and only if M [...] Read more.

We prove that a contact strongly pseudo-convex CR (Cauchy–Riemann) manifold

M^{2 n + 1}

n \geq 2

, is locally pseudo-Hermitian symmetric and satisfies

\nabla_{ξ} h = μ h ϕ

μ \in R

, if and only if M is either a Sasakian locally

ϕ

-symmetric space or a non-Sasakian

(k, μ)

-space. When

n = 1

, we prove a classification theorem of contact strongly pseudo-convex CR manifolds with pseudo-Hermitian symmetry. Full article

(This article belongs to the Special Issue Complex and Contact Manifolds)

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