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2 results

  • CONTACT METRIC THREE-MANIFOLDS WITH CONSTANT SCALAR TORSION

  • Part of
  • T. KOUFOGIORGOS, C. TSICHLIAS
  • Journal:
    Journal of the Australian Mathematical Society / Volume 107 / Issue 2 / October 2019
    Published online by Cambridge University Press:
    29 October 2018, pp. 234-255
    Print publication:
    October 2019
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  • In this paper we study three-dimensional contact metric manifolds satisfying $\Vert \unicode[STIX]{x1D70F}\Vert =\text{constant}$. The local description, as well as several global results and new examples of such manifolds are given.

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

  • Themis Koufogiorgos, Charalambos Tsichlias
  • Journal:
    Canadian Mathematical Bulletin / Volume 43 / Issue 4 / 01 December 2000
    Published online by Cambridge University Press:
    20 November 2018, pp. 440-447
    Print publication:
    01 December 2000
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  • 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.