Contact Lie form and concircular geometry of locally conformally quasi-Sasakian manifolds

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• 作者：V. F. Kirichenko ; E. A. Pol'kina
• 关键词：almost contact structure ; quasi ; Sasakian structure ; conformal transformation ; concircular transformation ; contact Lie form ; quasi ; Sasakian manifold
• 刊名：Mathematical Notes
• 出版年：2016
• 出版时间：January 2016
• 年：2016
• 卷：99
• 期：1-2
• 页码：52-62
• 全文大小：740 KB
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• 作者单位：V. F. Kirichenko (1)
  E. A. Pol’kina (1)
  
  1. Moscow State Pedagogical University, Moscow, Russia
  
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Mathematics
  Russian Library of Science
  
• 出版者：MAIK Nauka/Interperiodica distributed exclusively by Springer Science+Business Media LLC.
• ISSN：1573-8876

文摘

We introduce a class of almost contact metric structures admitting a locally concircular transformation into a quasi-Sasakian structure, namely, locally concircularly quasi-Sasakian structures. We obtain a criterion that singles out this subclass of structures from the class of locally conformally quasi-Sasakian structures. Some applications and generalizations of this result are obtained.