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J. Korean Math. Soc. 2004; 41(6): 1035-1047

Printed November 1, 2004

Copyright © The Korean Mathematical Society.

The unit tangent sphere bundle of a complex space form

Jong Taek Cho and Sun Hyang Chun

Chonnam National University, Graduate School Chonnam National University

Abstract

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In this paper, we study the unit tangent sphere bundles $T_1 M(4c)$ of complex space forms $M(4c)$ with constant holomorphic sectional curvature $4c$. In particular, we determine $T_1 M(4c)$ whose Ricci tensors satisfy the Einstein-like conditions.

Keywords: unit tangent sphere bundles, Eistein-like spaces, contact Riemannian structures

MSC numbers: 53C25, 53C55, 53D10

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