Archiv der Mathematik

, Volume 72, Issue 6, pp 466–472 | Cite as

A class of locally $\varphi $-symmetric contact metric spaces

  • E. Boeckx


We prove that a non-Sasakian contact metric manifold such that its characteristic vector field belongs to the \((k,\mu )\)-nullity distribution, is locally homogeneous. Further, these spaces are all locally \(\varphi \)-symmetric in the strong sense, i.e., the reflections with respect to characteristic curves are local isometries.


Vector Field Characteristic Vector Strong Sense Characteristic Curf Nullity Distribution 


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Copyright information

© Birkhäuser Verlag, Basel 1999

Authors and Affiliations

  • E. Boeckx
    • 1
  1. 1.Department of Mathematics, Katholieke Universiteit Leuven, Celestijnenlaan 200B, B-3001 Leuven, BelgiumBelgium

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