GEOMETRY OF CONTACT STRONGLY PSEUDO-CONVEX CR-MANIFOLDS | Zendy

Jong-Taek Cho | Zendy

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GEOMETRY OF CONTACT STRONGLY PSEUDO-CONVEX CR-MANIFOLDS

Author(s) -

Jong-Taek Cho

Publication year - 2006

Publication title -

journal of the korean mathematical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.403

H-Index - 31

eISSN - 2234-3008

pISSN - 0304-9914

DOI - 10.4134/jkms.2006.43.5.1019

Subject(s) - mathematics , connection (principal bundle) , holomorphic function , regular polygon , pure mathematics , sectional curvature , curvature , manifold (fluid mechanics) , space (punctuation) , generalization , operator (biology) , geometry , mathematical analysis , combinatorics , scalar curvature , mechanical engineering , linguistics , philosophy , biochemistry , chemistry , repressor , transcription factor , engineering , gene

As a natural generalization of a Sasakian space form, we deflne a contact strongly pseudo-convex CR-space form (of con- stant pseudo-holomorphic sectional curvature) by using the Tana- ka-Webster connection, which is a canonical a-ne connection on a contact strongly pseudo-convex CR-manifold. In particular, we classify a contact strongly pseudo-convex CR-space form (M;·;') with the pseudo-parallel structure operator h(= 1=2L»'), and then we obtain the nice form of their curvature tensors in proving Schur- type theorem, where L» denote the Lie derivative in the character- istic direction ».

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