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Article

Contact Metric Spaces and pseudo-Hermitian Symmetry

Department of Mathematics, Chonnam National University, Gwangju 61186, Korea
Mathematics 2020, 8(9), 1583; https://doi.org/10.3390/math8091583
Received: 7 August 2020 / Revised: 10 September 2020 / Accepted: 10 September 2020 / Published: 14 September 2020
(This article belongs to the Special Issue Complex and Contact Manifolds)
We prove that a contact strongly pseudo-convex CR (Cauchy–Riemann) manifold M2n+1, n2, is locally pseudo-Hermitian symmetric and satisfies ξh=μhϕ, μR, 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. View Full-Text
Keywords: contact almost CR (Cauchy–Riemann) manifold; generalized Tanaka-Webster connection; pseudo-Hermitian symmetric space contact almost CR (Cauchy–Riemann) manifold; generalized Tanaka-Webster connection; pseudo-Hermitian symmetric space
MDPI and ACS Style

Cho, J.T. Contact Metric Spaces and pseudo-Hermitian Symmetry. Mathematics 2020, 8, 1583. https://doi.org/10.3390/math8091583

AMA Style

Cho JT. Contact Metric Spaces and pseudo-Hermitian Symmetry. Mathematics. 2020; 8(9):1583. https://doi.org/10.3390/math8091583

Chicago/Turabian Style

Cho, Jong T. 2020. "Contact Metric Spaces and pseudo-Hermitian Symmetry" Mathematics 8, no. 9: 1583. https://doi.org/10.3390/math8091583

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