Gauss and Ricci equations in contact manifolds with a quarter-symmetric metric connection

DOI10.1007/S40840-014-0105-XzbMath1329.53065OpenAlexW2068414198MaRDI QIDQ745950

Siraj Uddin, Avik De

Publication date: 15 October 2015

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40840-014-0105-x

zbMATH Keywords

contact manifoldEinstein manifoldinvariant submanifoldquarter-symmetric metric connectiontotally umbilicalRicci equationGauss Codazzi equation

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Contact manifolds (general theory) (53D10) Differential geometry of symmetric spaces (53C35)

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Cites Work

• \(N(k)\)-quasi Einstein manifolds satisfying certain curvature conditions
• On conharmonic curvature tensor in \(K\)-contact and Sasakian manifolds
• On LP-Sasakian manifolds
• Submanifolds of a Lorentzian para-Sasakian manifold
• Contact manifolds in Riemannian geometry
• Quarter-symmetric nonmetric connection on \(P\)-Sasakian manifolds
• The structure of some classes of 3-dimensional normal almost contact metric manifolds
• Optimal inequalities, contact \(\delta\)-invariants and their applications
• Submanifolds of a Riemannian Manifold with Semisymmetric Metric Connections
• General Relativity
• Riemannian geometry of contact and symplectic manifolds
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