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  • 标题:A General Type of Almost Contact Manifolds
  • 本地全文:下载
  • 作者:Catalin Angelo Ioan
  • 期刊名称:Acta Universitatis Danubius. Oeconomica
  • 印刷版ISSN:2065-0175
  • 电子版ISSN:2067-340X
  • 出版年度:2005
  • 卷号:1
  • 期号:01
  • 出版社:Danubius University
  • 摘要:Among almost contact manifolds Sasakian manifolds, Kenmotsu manifolds (called also “a certain class of almost contact manifolds”) and cosymplectic manifolds have been studied by many authors. The purpose of this paper is to obtain a class of almost contact manifolds which will generalize the above manifolds. The paper generalizes the RK-manifolds introduced by Lieven Vanhecke. I give some results concerning the submanifolds of these spaces, the behaviour of these submanifolds at conformal, projective and concircular transformations. Also I obtain a similar result with those on RK-manifolds but in a form a little weaker when they satisfy the axiom of 2p+1-coholomorphic spheres.
  • 关键词:manifolds Sasakian, Kenmotsu manifolds, metric manifold. RK-manifolds, Kähler manifold, geodesic submanifolds
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