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On the Existence of a New Class of Contact Metric Manifolds

  Published:2000-12-01
 Printed: Dec 2000
Canadian Mathematical Bulletin
  • Themis Koufogiorgos
  • Charalambos Tsichlias
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Abstract

A new class of 3-dimensional contact metric manifolds is found. Moreover it is proved that there are no such manifolds in dimensions greater than 3.
Keywords: contact metric manifolds, generalized $(\kappa, \mu)$-contact metric manifolds contact metric manifolds, generalized $(\kappa, \mu)$-contact metric manifolds
MSC Classifications: 53C25, 53C15 show english descriptions Special Riemannian manifolds (Einstein, Sasakian, etc.)
General geometric structures on manifolds (almost complex, almost product structures, etc.) 53C25 - Special Riemannian manifolds (Einstein, Sasakian, etc.)
53C15 - General geometric structures on manifolds (almost complex, almost product structures, etc.)
 
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