Distributions of Codimension 2 in Kenmotsu Geometry

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• 作者：Constantin Călin ; Mircea Crasmareanu
• 关键词：Kenmotsu manifold ; Distribution ; Foliation ; Bundle ; like metric ; Normality ; 53C40 ; 53C55 ; 53C12 ; 53C42
• 刊名：Bulletin of the Malaysian Mathematical Sciences Society
• 出版年：2016
• 出版时间：January 2016
• 年：2016
• 卷：39
• 期：1
• 页码：271-281
• 全文大小：435 KB
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  2.Bejancu, A., Farran, H.R.: Foliations and Geometric Structures. Springer, New York (2006). [MR2190039 (2006j:53034)]MATH
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• 作者单位：Constantin Călin (1)
  Mircea Crasmareanu (2)
  
  1. Department of Mathematics, Technical University “Gh. Asachi”, 700049, Iasi, Romania
  2. Faculty of Mathematics, University “Al. I. Cuza”, 700506, Iasi, Romania
  
• 刊物类别：Mathematics, general; Applications of Mathematics;
• 刊物主题：Mathematics, general; Applications of Mathematics;
• 出版者：Springer Singapore
• ISSN：2180-4206

文摘

Given a 2-codimensional distribution normal to the structural vector field \(\xi \) on a Kenmotsu manifold the necessary and sufficient conditions for the normality of this distribution are studied. A main result is the existence of a total umbilical foliation and of bundle-like metrics. Under certain circumstances, a new foliation arises and its properties are investigated. Keywords Kenmotsu manifold Distribution Foliation Bundle-like metric Normality