Geometry of contact strongly pseudo-convex CR-manifolds

다국어 초록 (Multilingual Abstract)

As a natural generalization of a Sasakian space form, wedefine a contact strongly pseudo-convex CR-space form (of constantpseudo-holomorphic sectional curvature) by using theTana-ka-Webster connection, which is a canonical affine connectionon a contact strongly pseudo-convex CR-manifold. In particular, weclassify a contact strongly pseudo-convex CR-space form(M,eta,varphi) with the pseudo-parallel structure operatorh(=1/2L_{xi}varphi), and then we obtain the nice form of theircurvature tensors in proving Schur-type theorem, where L_xidenote the Lie derivative in the characteristic direction xi.

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