Torsion and homogeneity on contact metric three-manifolds |
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Authors: | G Calvaruso D Perrone |
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Institution: | (1) Dipartimento di Matematica, Università degli Studi di Lecce, Via Provinciale Lecce-Arnesano, 73100 Lecce, Italy |
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Abstract: | We show that a three-dimensional contact metric manifold is locally homogeneous if and only if it is ball-homogeneous and
satisfies the condition ∇ξτ=2aτϕ, with a constant. Then, we relate the condition ∇ξτ=0 with the existence of taut contact circles on a compact three-dimensional contact metric manifold.
Entrata in Redazione il 20 gennaio 1999.
Supported by funds of the University of Lecce and the M.U.R.S.T. Work made within the program of G.N.S.A.G.A.-C.N.R. |
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Keywords: | 53C15 53C25 53C30 |
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