Constancy of \(\varphi\) -holomorphic sectional curvature of \((\epsilon)\)-Sasakian manifolds

DOI10.1134/S1995080209010107zbMath1169.53033MaRDI QIDQ1014077

Rakesh Kumar, Rachna Rani, Rakesh Kumar Nagaich

Publication date: 24 April 2009

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

(\(\epsilon\))-Sasakian manifold\(\varphi\)-holomorphic sectional curvature

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

Cites Work

• Real hypersurfaces of indefinite Kähler manifolds
• Space time manifolds and contact structures
• On sectional curvatures of \((\varepsilon)\)-Sasakian manifolds
• Contact manifolds in Riemannian geometry
• On sectional curvature of indefinite metrics
• On sectional curvature of indefinite metrics. II
• Constancy of holomorphic sectional curvature in indefinite almost Hermitian manifolds
• Two theorems on \((\varepsilon)\)-Sasakian manifolds
• Constancy of holomorphic sectional curvature in almost Hermitian manifolds

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