Generalized \((\kappa,\mu)\)-contact metric manifolds with \(\xi\mu=0\)

DOI10.3836/tjm/1219844823zbMath1158.53020OpenAlexW2086606483MaRDI QIDQ946982

Charalambos Tsichlias, Themis Koufogiorgios

Publication date: 29 September 2008

Published in: Tokyo Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3836/tjm/1219844823

zbMATH Keywords

contact metric manifoldgeneralized (\(\kappa, \mu\))-space

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Contact manifolds (general theory) (53D10)

Related Items (4)

Certain results on generalized \((k,\mu)\)-contact metric manifolds ⋮ Contact 3-manifolds with pseudo-parallel characteristic Jacobi operator ⋮ Static perfect fluid space-time on contact metric manifolds ⋮ \((\kappa ,\mu ,\upsilon =const.)\)-contact metric manifolds with \(\xi (I_M)=0\)

Cites Work

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• A class of locally \(\varphi\)-symmetric contact metric spaces
• Generalized \((\kappa, \mu)\)-contact metric manifolds with \(\| \operatorname{grad} \kappa\| = \) constant
• A full classification of contact metric \((k,\mu)\)-spaces
• Contact metric manifolds satisfying a nullity condition
• The topology of contact Riemannian manifolds
• Variational Problems on Contact Riemannian Manifolds
• On the Existence of a New Class of Contact Metric Manifolds
• Riemannian geometry of contact and symplectic manifolds

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