Let η be a typical contact form on the manifold M³ = S³, R³ and T³. We determine contact metric structures (φ, ξ, η, g) on M³. And then we consider the cases that (φ, ξ, η, g) is η-Einstein, or it is Sasakian, or it is K-contact, respectively.
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13(1990), 391-401.
Contact metric structures with the typical contact form
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9(1981), 533-545.
[4] M. Okumura, On infinitesimal conformal and projective transformations of normal contact spaces, Tˆohoku Math. J., 14(1962), 398-412.
Akio Yamamoto
Graduate School of Science and Engineering for Education
University of Toyama
Gofuku, Toyama 930-8555, JAPAN
(Received October 1, 2020)
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