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In this paper we prove that a φ-recurrent (k, μ)-contact metricmanifold is an η-Einstein manifold with constant coefficients. Next, weprove that a three-dimensional locally φ-recurrent (k, μ)-contact metricmanifold is the space of constant curvature. The existence of φ-recurrent(k, μ)-manifold is proved by a non-trivial example
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참고문헌 (14)
참고문헌 신청
B. J. Papantoniou / 1993 / Contact Riemannian manifolds satisfying R(ξ,X)R = 0 and ξ ∈ (k, )-nullity distribution / Yokohama Mathematics Journal 40 (2) : 149 ~ 161
C. Baikoussis / 1992 / A decomposition of the curvature tensor of a contact manifold satisfying R(X, Y )ξ = k(η(Y )X?η(X)Y )
D. E. Blair / 1977 / Two remarks on contact metric structures / Tohoku Mathematical Journal (2) 29 (3) : 319 ~ 324
D. E. Blair / 1990 / A classification of 3-dimensional contact metric manifolds with Q?= ? / KODAI MATHEMATICAL JOURNAL 13 (3) : 391 ~ 401
D. E. Blair / 1992 / A classification of 3-dimensional contact metric manifolds with Q?= ?. II / BULLETIN of the Institute of Mathematics. Academia Sinica 20 (4) : 379 ~ 383
C. Baikoussis / 1992 / A decomposition of the curvature tensor of a contact manifold satisfying R(X, Y )ξ = k(η(Y )X?η(X)Y )
D. E. Blair / 1977 / Two remarks on contact metric structures / Tohoku Mathematical Journal (2) 29 (3) : 319 ~ 324
D. E. Blair / 1990 / A classification of 3-dimensional contact metric manifolds with Q?= ? / KODAI MATHEMATICAL JOURNAL 13 (3) : 391 ~ 401
D. E. Blair / 1992 / A classification of 3-dimensional contact metric manifolds with Q?= ?. II / BULLETIN of the Institute of Mathematics. Academia Sinica 20 (4) : 379 ~ 383
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