Trans-Sasakian manifolds homothetic to Sasakian manifolds

DOI10.1007/S00009-015-0666-4zbMath1359.53022OpenAlexW2282777802WikidataQ126163945 ScholiaQ126163945MaRDI QIDQ5895082

Sharief Deshmukh

Publication date: 7 December 2016

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

Full work available at URL: https://doi.org/10.1007/s00009-015-0666-4

zbMATH Keywords

Killing vector fieldSasakian manifoldPoisson equationtrans-Sasakian manifoldRicci operator

Mathematics Subject Classification ID

General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Contact manifolds (general theory) (53D10)

Related Items (18)

$\ast$-Ricci solitons and $\ast$-gradient Ricci solitons on 3-dimensional trans-Sasakian manifolds ⋮ Trans-Sasakian 3-manifolds with Einstein-like Ricci operators ⋮ Geometry of Warped Product Semi-Slant Submanifolds in Almost Contact Metric Manifolds ⋮ Trans-Sasakian 3-manifolds with Reeb flow invariant Ricci operator ⋮ On compact trans-Sasakian manifolds ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Three-dimensional trans-Sasakian manifolds and solitons ⋮ Ricci tensors on trans-Sasakian 3-manifolds ⋮ Almost *-η-Ricci soliton on three-dimensional trans-Sasakian manifolds ⋮ Unnamed Item ⋮ Ricciη-parallel trans-Sasakian 3-manifolds ⋮ A general inequality for CR-warped products in generalized Sasakian space form and its applications ⋮ Characterizations of trivial Ricci solitons ⋮ Unnamed Item ⋮ On 3-dimensional normal almost contact pseudo-metric manifolds ⋮ Some characterizations of property of trans-Sasakian 3-manifolds ⋮ Reeb flow invariant \(\ast\)-Ricci operators on trans-Sasakian three-manifolds

Cites Work

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• Curvature bounds for the spectrum of a compact Riemannian manifold of constant scalar curvature
• The sixteen classes of almost Hermitian manifolds and their linear invariants
• The local structure of trans-Sasakian manifolds
• Contact manifolds in Riemannian geometry
• Certain almost contact hypersurfaces in Kaehlerian manifolds of constant holomorphic sectional curvatures
• A class of almost contact Riemannian manifolds
• Certain conditions for a Riemannian manifold to be isometric with a sphere
• Conformal and related changes of metric on the product of two almost contact metric manifolds
• ON GENERALIZED RICCI-RECURRENT TRANS-SASAKIAN MANIFOLDS
• A note on trans-Sasakian manifolds

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