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    STUDIA MATHEMATICA - Issue no. 4 / 2019  
         
  Article:   GEOMETRIC CHARACTERISTICS AND PROPERTIES OF A TWO-PARAMETRIC FAMILY OF LIE GROUPS WITH ALMOST CONTACT B-METRIC STRUCTURE OF THE SMALLEST DIMENSION.

Authors:  MIROSLAVA IVANOVA, LILKO DOSPATLIEV.
 
       
         
  Abstract:  Almost contact B-metric manifolds of the lowest dimension 3 are constructed by a two-parametric family of Lie groups. Our purpose is to determine the class of considered manifolds in a classification of almost contact B-metric manifolds and their most important geometric characteristics and properties.

Mathematics Subject Classification (2010): 53C15, 53C50, 53D15.

Keywords: Almost contact B-metric manifold, Lie group, Lie algebra, indefinite metric.
 
         
     
         
         
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