Riemann soliton within the framework of contact geometry

DOI10.2989/16073606.2020.1732495zbMath1467.53053OpenAlexW3009006705MaRDI QIDQ4992631

M. N. Devaraja, H. Aruna Kumara, V. Venkatesha

Publication date: 9 June 2021

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2989/16073606.2020.1732495

zbMATH Keywords

contact metric manifoldRiemann solitongradient almost Riemann soliton

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Almost contact and almost symplectic manifolds (53D15)

Related Items (7)

A note on almost Riemann solitons and gradient almost Riemann solitons ⋮ Unnamed Item ⋮ On submanifolds as Riemann solitons ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Remarks on Riemann and Ricci solitons in \((\alpha,\beta)\)-contact metric manifolds ⋮ Remarks on almost Riemann solitons with gradient or torse-forming vector field

Cites Work

• Almost Ricci solitons and \(K\)-contact geometry
• Certain contact metrics as Ricci almost solitons
• On infinitesimal conformal and projective transformations of normal contact spaces
• Certain results on \(K\)-contact and \((k, \mu )\)-contact manifolds
• Some results on almost Ricci solitons and geodesic vector fields
• The local moduli of Sasakian \(3\)-manifolds
• Contact metric manifolds whose characteristic vector field is a harmonic vector field
• Ricci almost solitons and contact geometry
• The topology of contact Riemannian manifolds
• Certain conditions for a Riemannian manifold to be isometric with a sphere
• Einstein manifolds and contact geometry
• Riemannian geometry of contact and symplectic manifolds
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