A class of conformally flat contact metric 3-manifolds

DOI10.1007/BF03322727zbMath1052.53054MaRDI QIDQ1412976

Ramesh Sharma, Florence Gouli-Andreou

Publication date: 10 November 2003

Published in: Results in Mathematics (Search for Journal in Brave)

zbMATH Keywords

scalar curvatureconformally flatcontact metric 3-manifold

Mathematics Subject Classification ID

Contact manifolds (general theory) (53D10) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Cites Work

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• Contact manifolds in Riemannian geometry
• On the non-existence of flat contact metric structures
• Two classes of conformally flat contact metric 3-manifolds
• Conformally flat 3-manifolds with constant scalar curvature
• When is the tangent sphere bundle conformally flat?
• Homogeneity on three-dimensional contact metric manifolds
• Some remarks on space with a certain contact structure
• Locally symmetric $K$-contact Riemannian manifolds
• Conformally flat contact metric manifolds

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