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http://dx.doi.org/10.4134/JKMS.2006.43.5.1019

GEOMETRY OF CONTACT STRONGLY PSEUDO-CONVEX CR-MANIFOLDS  

Cho, Jong-Taek (Department of Mathematics Chonnam National University CNU The Institute of Basic Sciences)
Publication Information
Journal of the Korean Mathematical Society / v.43, no.5, 2006 , pp. 1019-1045 More about this Journal
Abstract
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 $\xi$.
Keywords
contact strongly pseudo-convex CR-manifold; Sasakian space form; contact strongly pseudo-convex CR-space form;
Citations & Related Records
Times Cited By KSCI : 2  (Citation Analysis)
Times Cited By Web Of Science : 5  (Related Records In Web of Science)
Times Cited By SCOPUS : 5
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