Riemannian maps whose total manifolds admit a Ricci soliton

DOI10.1016/j.geomphys.2021.104317zbMath1472.53027arXiv2107.01049OpenAlexW3175439075WikidataQ115352693 ScholiaQ115352693MaRDI QIDQ2049431

Akhilesh Yadav, Kiran Meena

Publication date: 25 August 2021

Published in: Journal of Geometry and Physics, Publicationes Mathematicae Debrecen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.01049

zbMATH Keywords

harmonic mapEinstein manifoldRicci solitonbiharmonic mapRiemannian mapalmost Ricci solitonumbilical Riemannian maptotally geodesic Riemannian map

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Differential geometric aspects of harmonic maps (53C43) Local Riemannian geometry (53B20)

Related Items (7)

Clairaut Riemannian maps ⋮ On conformal Riemannian maps whose total manifold admits a Ricci soliton ⋮ Pointwise slant Riemannian maps (\(\mathcal{PSRM}\)) to almost Hermitian manifolds ⋮ Conformal submersions whose total manifolds admit a Ricci soliton ⋮ Almost Ricci-Bourguignon soliton on warped product space ⋮ Pointed Gromov-Hausdorff topological stability for non-compact metric spaces ⋮ Clairaut Riemannian maps whose total manifolds admit a Ricci soliton

Cites Work

• Semi-invariant Riemannian maps from almost Hermitian manifolds
• Harmonic Riemannian maps on locally conformal Kähler manifolds
• Conformal Riemannian maps between Riemannian manifolds, their harmonicity and decomposition theorems
• Ricci solitons on singly warped product manifolds and applications
• The fundamental equations of a submersion
• SEMI-INVARIANT RIEMANNIAN MAPS TO KÄHLER MANIFOLDS
• Ricci almost solitons
• INVARIANT AND ANTI-INVARIANT RIEMANNIAN MAPS TO KÄHLER MANIFOLDS
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