Parallel tensors and Ricci solitons in \(N(k)\)-quasi Einstein manifolds

DOI10.1007/s13226-012-0022-3zbMath1264.53045OpenAlexW2016115309MaRDI QIDQ1758652

Mircea Crasmareanu

Publication date: 15 November 2012

Published in: Indian Journal of Pure \& Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13226-012-0022-3

zbMATH Keywords

perfect fluidRicci solitontorse-forming vector field\(N(k)\)-quasi Einstein manifoldParallel second order covariant tensor field

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

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Cites Work

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• Second order parallel tensor in real and complex space forms
• On quasi-Einstein spacetimes
• \(N(k)\)-quasi Einstein manifolds satisfying certain conditions
• On the curvature of contact metric manifolds
• Holonomy groups of indefinite metrics
• ON N(k)-QUASI EINSTEIN MANIFOLDS
• Recent Progress on Ricci Solitons
• Existence of Linear Connections with Respect to Which Given Tensor Fields are Parallel or Recurrent

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