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Space of K-contact metrics of a three-dimensional manifold

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Publication:1122155
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DOI10.1007/BF00969474zbMath0675.53036MaRDI QIDQ1122155

Nicolai Konstantinovich Smolentsev

Publication date: 1987

Published in: Siberian Mathematical Journal (Search for Journal in Brave)


zbMATH Keywords

Killing vector fieldcontact manifoldReeb vectorBlair conjectureK-contact metricset of smooth K-contact Riemannian metrics


Mathematics Subject Classification ID

General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Manifolds of metrics (especially Riemannian) (58D17)


Related Items

Contact 3-manifolds with pseudo-parallel characteristic Jacobi operator



Cites Work

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  • A group of diffeomorphisms which leave a vector field fixed
  • The differentiable structure of three remarkable diffeomorphism groups
  • Contact manifolds in Riemannian geometry
  • Infinite dimensional Lie transformation groups
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