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Contact Metric Spaces and pseudo-Hermitian Symmetry

Author

Listed:
  • Jong Taek Cho

    (Department of Mathematics, Chonnam National University, Gwangju 61186, Korea)

Abstract

We prove that a contact strongly pseudo-convex CR (Cauchy–Riemann) manifold M 2 n + 1 , n ≥ 2 , is locally pseudo-Hermitian symmetric and satisfies ∇ ξ h = μ h ϕ , μ ∈ 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.

Suggested Citation

  • Jong Taek Cho, 2020. "Contact Metric Spaces and pseudo-Hermitian Symmetry," Mathematics, MDPI, vol. 8(9), pages 1-13, September.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:9:p:1583-:d:413198
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