Geometrical and physical characteristics of a class of conformal mappings

DOI10.1016/j.geomphys.2012.02.005zbMath1261.53022OpenAlexW1981285360MaRDI QIDQ414528

Fengyun Fu, Peibiao Zhao, Xiao-Ping Yang

Publication date: 11 May 2012

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2012.02.005

zbMATH Keywords

Ricci tensorquasi-Einstein metricHessian recurrent spacequasi-umbilical hypersurface

Mathematics Subject Classification ID

Local differential geometry of Lorentz metrics, indefinite metrics (53B30) Methods of local Riemannian geometry (53B21)

Related Items (11)

Special almost geodesic mappings of the first type of non-symmetric affine connection spaces ⋮ Geometries for a mutual connection of semi-symmetric metric recurrent connections ⋮ Some physical properties of generalized quasi-Einstein spacetimes under Gray’s decomposition ⋮ Sufficient conditions for a pseudosymmetric spacetime to be a perfect fluid spacetime ⋮ Relativistic magneto-fluid spacetimes ⋮ Geometric and physical characteristics of mixed super quasi-Einstein manifolds ⋮ On quarter symmetric connections preserving geodesics ⋮ A class of non-holonomic projective connections on sub-Riemannian manifolds ⋮ Geometries of manifolds equipped with a Ricci (projection-Ricci) quarter-symmetric connection ⋮ On a projective conformal semi-symmetric connection ⋮ On a Ricci quarter-symmetric metric recurrent connection and a projective Ricci quarter-symmetric metric recurrent connection in a Riemannian manifold

Cites Work

• On pseudo quasi-Einstein manifolds
• A property on geodesic mappings of pseudo-symmetric Riemannian manifolds
• Conformal transformations on Carnot-Carathéodory spaces
• Obstructions to conformally Einstein metrics in \(n\) dimensions
• On generalized concircularly recurrent manifolds
• Concircular geometry I. Concircular transformations
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