A Remark on Contact Hypersurfaces of a Complex Hyperbolic Space  

作　　者：许志才 

机构地区：[1] Huainan Mining Institute,

出　　处：《Chinese Quarterly Journal of Mathematics》1993年第3期30-34,共5页数学季刊（英文版）

摘　　要：A differentiable manifold is said to be contact if it admits a linear functional f on the tangent bundle satisfying f ∧(df)^(M-1)≠0.This remark obtain the following the classification:Let M be a complete connected contact hyper-surface of CH^2(-4),then M is congruent to one of the following: (i)A tube of radius r>0 around a totally geodesic,totally real hyperbolic space form H^2(-1); (ii)A tube of radius r>0 around a totally geodesic complex hyperbolic space form CH^1(-4); (iii)A geodesic hypersphere of radius r>0,or (iv)A horosphere.

关 键 词：differentiable manifold tangent bundle. 

分 类 号：O174.5[理学—数学]