Classification of Ricci solitons on Euclidean hypersurfaces

DOI10.1142/S0129167X14501043zbMath1310.53041arXiv1410.5069OpenAlexW1990119547WikidataQ126182024 ScholiaQ126182024MaRDI QIDQ2937434

Sharief Deshmukh, Bang-Yen Chen

Publication date: 9 January 2015

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

Full work available at URL: https://arxiv.org/abs/1410.5069

zbMATH Keywords

Einstein manifoldRicci solitonconcurrent vector fieldposition vector fieldEuclidean hypersurface

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25)

Related Items (15)

A survey on Ricci solitons on Riemannian submanifolds ⋮ Almostη-Ricci and almostη-Yamabe solitons with torse-forming potential vector field ⋮ Euclidean submanifolds via tangential components of their position vector fields ⋮ Characterizations of immersed gradient almost Ricci solitons ⋮ Classifications of quotion Yamabe solitons on Euclidean submanifolds with concurrent vector fields ⋮ Quasi-Yamabe and Yamabe solitons on hypersurfaces of nearly Kähler manifolds ⋮ Harmonic forms and generalized solitons ⋮ Unnamed Item ⋮ Topics in differential geometry associated with position vector fields on Euclidean submanifolds ⋮ Yamabe and quasi-Yamabe solitons on Euclidean submanifolds ⋮ Reflections on some research work of Bang-Yen Chen ⋮ Ricci soliton biharmonic hypersurfaces in the Euclidean space ⋮ Ricci solitons on pseudo-Riemannian hypersurfaces of \(4\)-dimensional Minkowski space ⋮ Gradient Ricci solitons and Fischer-Marsden equation on cosymplectic manifolds ⋮ Submanifolds of Sasakian Manifolds with Concurrent Vector Field

Cites Work

• Ricci solitons on locally conformally flat hypersurfaces in space forms
• Ricci solitons and real hypersurfaces in a complex space form
• Eine innere Kennzeichnung der verzerrten Produkte
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• Doubly warped products.
• Geometry of position functions of Riemannian submanifolds in pseudo-Euclidean space
• A remark on compact Ricci solitons
• On submanifolds of submanifolds of a Riemannian manifold
• Total Mean Curvature and Submanifolds of Finite Type
• Ricci solitons of compact real hypersurfaces in Kähler manifolds
• A Myers-type theorem and compact Ricci solitons

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