The curvature tensor of \((\kappa,\mu,\nu )\)-contact metric manifolds

DOI10.1007/s00605-015-0762-3zbMath1319.53093arXiv1109.6258OpenAlexW1816977910MaRDI QIDQ2354032

Alfonso Carriazo, Kadri Arslan, Verónica Martín-Molina, Cengizhan Murathan

Publication date: 10 July 2015

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1109.6258

zbMATH Keywords

conformal flatnesscontact metric manifold\((\kappa, \mu, \nu )\)-contact metric manifold\(D_a\)-homothetic deformationgeneralized \((\kappa , \mu , \nu )\)-space form

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Differential geometry of symmetric spaces (53C35) Almost contact and almost symplectic manifolds (53D15)

Related Items (4)

Almost cosymplectic and almost Kenmotsu \((\kappa,\mu,\nu)\)-spaces ⋮ Almost Kenmotsu 3-manifolds with pseudo-parallel characteristic Jacobi operator ⋮ Static perfect fluid space-time on contact metric manifolds ⋮ Three dimensional contact metric manifolds with Cotton solitons

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Almost cosymplectic and almost Kenmotsu \((\kappa,\mu,\nu)\)-spaces
• The harmonicity of the Reeb vector field on contact metric 3-manifolds
• Geometric structures associated to a contact metric \((\kappa ,\mu )\)-space
• Almost Kenmotsu manifolds and nullity distributions
• A class of locally \(\varphi\)-symmetric contact metric spaces
• Contact Riemannian manifolds with constant \(\varphi\)-sectional curvature
• A full classification of contact metric \((k,\mu)\)-spaces
• Generalized Sasakian-space-forms
• On the curvature of contact metric manifolds
• Contact metric manifolds satisfying a nullity condition
• Generalized \((\kappa,\mu)\)-space forms
• Almost Kenmotsu manifolds and local symmetry
• On almost cosymplectic \((-1,\mu,0)\)-spaces
• Structures on generalized Sasakian-space-forms
• The topology of contact Riemannian manifolds
• On the Existence of a New Class of Contact Metric Manifolds
• Riemannian geometry of contact and symplectic manifolds

This page was built for publication: The curvature tensor of \((\kappa,\mu,\nu )\)-contact metric manifolds