DOI QR코드

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GEOMETRY OF CONTACT STRONGLY PSEUDO-CONVEX CR-MANIFOLDS

  • Cho, Jong-Taek (Department of Mathematics Chonnam National University CNU The Institute of Basic Sciences)
  • 발행 : 2006.09.30

초록

As a natural generalization of a Sasakian space form, we define a contact strongly pseudo-convex CR-space form (of constant pseudo-holomorphic sectional curvature) by using the Tanaka-Webster connection, which is a canonical affine connection on a contact strongly pseudo-convex CR-manifold. In particular, we classify a contact strongly pseudo-convex CR-space form $(M,\;\eta,\;\varphi)$ with the pseudo-parallel structure operator $h(=1/2L\xi\varphi)$, and then we obtain the nice form of their curvature tensors in proving Schurtype theorem, where $L\xi$ denote the Lie derivative in the characteristic direction $\xi$.

키워드

참고문헌

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피인용 문헌

  1. Mok-Siu-Yeung type formulas on contact locally sub-symmetric spaces vol.35, pp.1, 2009, https://doi.org/10.1007/s10455-008-9120-1
  2. Affine biharmonic submanifolds in 3-dimensional pseudo-Hermitian geometry vol.79, pp.1, 2009, https://doi.org/10.1007/s12188-008-0014-8
  3. Pseudo-Hermitian symmetries vol.166, pp.1, 2008, https://doi.org/10.1007/s11856-008-1023-0
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