A new approach to gradient Ricci solitons and generalizations

DOI10.2298/FIL1809337CzbMath1499.53216arXiv1706.08261OpenAlexW2963221068WikidataQ126040263 ScholiaQ126040263MaRDI QIDQ5032378

Mircea Crasmareanu

Publication date: 16 February 2022

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.08261

zbMATH Keywords

Golab connection(Gradient) Ricci solitonshape solitonstatistical solitonweak soliton

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Flows related to mean curvature (53E10)

Related Items

A note on warped product almost quasi-Yamabe solitons ⋮ Classes of harmonic functions in 2D generalized Poincaré geometry ⋮ Remarks on almost η-Ricci solitons in (ε)-para Sasakian manifolds ⋮ Affine Ricci solitons associated to the Bott connection on three-dimensional Lorentzian Lie groups ⋮ Affine generalized Ricci solitons of three-dimensional Lorentzian Lie groups associated to Yano connection ⋮ Affine algebraic Ricci solitons associated to the Yano connections on three-dimensional Lorentzian Lie groups ⋮ A glimpse of a generalized Hessian operator ⋮ Lower Bounds on Statistical Submersions with vertical Casorati curvatures ⋮ Generalized Ricci solitons of three-dimensional Lorentzian Lie groups associated canonical connections and Kobayashi-nomizu connections ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Some results on almost \(\eta\)-Ricci-bourguignon solitons ⋮ Imperfect fluid generalized Robertson Walker spacetime admitting Ricci-Yamabe metric ⋮ INEQUALITIES FOR GRADIENT EINSTEIN AND RICCI SOLITONS

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Torse forming vector fields and exterior concurrent vector fields on Riemannian manifolds and applications
• From the Eisenhart problem to Ricci solitons in \(f\)-Kenmotsu manifolds
• Locally conformal Kähler geometry
• Last multipliers for Riemannian geometries, Dirichlet forms and Markov diffusion semigroups
• Parallel second-order tensors on Vaisman manifolds
• SOME RESULTS ON CONCIRCULAR VECTOR FIELDS AND THEIR APPLICATIONS TO RICCI SOLITONS
• Riemannian Geometry
• Maximum Principles and Geometric Applications
• Geometric Modeling in Probability and Statistics
• Aspects of Differential Geometry III