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# On the Existence of a New Class of Contact Metric Manifolds

Published:2000-12-01
Printed: Dec 2000
• 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
 MSC Classifications: 53C25 - Special Riemannian manifolds (Einstein, Sasakian, etc.) 53C15 - General geometric structures on manifolds (almost complex, almost product structures, etc.)