Ricci soliton on a class of Riemannian manifolds under $D$-isometric deformation

DOI10.21915/BIMAS.2023302zbMath1528.53025OpenAlexW4387897785MaRDI QIDQ6062180

Delloum Adel, Beldjilali Gherici

Publication date: 30 November 2023

Published in: Bulletin of the Institute of Mathematics Academia Sinica NEW SERIES (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.21915/bimas.2023302

zbMATH Keywords

Riemannian manifoldsRicci solitonsdeformation of metrics

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Contact manifolds (general theory) (53D10)

Cites Work

• A classification of 3-dimensional contact metric manifolds with \(Q\phi=\phi Q\)
• Certain results on \(K\)-contact and \((k, \mu )\)-contact manifolds
• Three-dimensional Lorentzian homogeneous Ricci solitons
• Three-manifolds with positive Ricci curvature
• Deformations of metrics and biharmonic maps
• A class of almost contact Riemannian manifolds
• ON SOME RIEMANNIAN MANIFOLDS ADMITTING TORSE-FORMING VECTOR FIELDS
• Torse-forming η-Ricci solitons in almost paracontact η-Einstein geometry
• Harmonic Maps and Torse-Forming Vector Fields
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