Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
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VANISHING OF CONTACT CONFORMAL CURVATURE TENSOR ON 3-DIMENSIONAL SASAKIAN MANIFOLDS

  • Bang, Keumseong (Department of Mathematics The Catholic University of Korea) ;
  • Kye, JungYeon (Interdisciplinary Graduate Program Mathematics and Education University of Missouri at Kansas City)
  • Received : 2002.08.08
  • Published : 2002.10.21
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Abstract

We show that the contact conformal curvature tensor on 3-dimensional Sasakian manifold always vanishes. We also prove that if the contact conformal curvature tensor vanishes on a 3-dimensional locally ${\varphi}$-symmetric contact metric manifold M, then M is a Sasakian space form.

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