대한수학회지 (Journal of the Korean Mathematical Society)

  • 제43권5호
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  • Pages.1019-1045
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  • 2006
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  • 0304-9914(pISSN)
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  • 2234-3008(eISSN)
대한수학회 (Korean Mathematical Society)
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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
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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 $\xi$.

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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
  4. A CLASSIFICATION OF SPHERICAL SYMMETRIC CR MANIFOLDS vol.80, pp.02, 2009, https://doi.org/10.1017/S0004972709000252
  5. PSEUDOHERMITIAN LEGENDRE SURFACES OF SASAKIAN SPACE FORMS vol.30, pp.4, 2015, https://doi.org/10.4134/CKMS.2015.30.4.457
  6. SLANT CURVES IN CONTACT PSEUDO-HERMITIAN 3-MANIFOLDS vol.78, pp.03, 2008, https://doi.org/10.1017/S0004972708000737
  7. A Schur-type theorem for CR-integrable almost Kenmotsu manifolds vol.66, pp.5, 2016, https://doi.org/10.1515/ms-2016-0217
  8. Pseudo-Einstein manifolds vol.196, 2015, https://doi.org/10.1016/j.topol.2015.05.013