Some applications of the Hodge-de Rham decomposition to Ricci solitons
From MaRDI portal
Publication:1758353
DOI10.1007/s00025-011-0166-1zbMath1252.53054OpenAlexW1980669230MaRDI QIDQ1758353
Cicero Pedro Aquino, Abdênago A. Barros, Ernani jun. Ribeiro
Publication date: 9 November 2012
Published in: Results in Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00025-011-0166-1
Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Integral geometry (53C65) Global Riemannian geometry, including pinching (53C20) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)
Related Items (25)
Some characterizations for compact almost Ricci solitons ⋮ On the rigidity of harmonic-Ricci solitons ⋮ Some results on \(h\)-almost Ricci solitons ⋮ Quasi-Einstein manifolds endowed with a parallel vector field ⋮ Some results on $\eta$-Ricci Soliton and gradient $\rho$-Einstein soliton in a complete Riemannian manifold ⋮ Sasakian 3-metric as a generalized Ricci-Yamabe soliton ⋮ Some results on conformal geometry of gradient Ricci solitons ⋮ Some uniqueness results for Ricci solitons ⋮ On the almost quasi-Yamabe solitons ⋮ Rigidity of quasi-Einstein metrics: the incompressible case ⋮ A note on almost Ricci solitons ⋮ Compact almost Ricci solitons with constant scalar curvature are gradient ⋮ Certain contact metrics as Ricci almost solitons ⋮ Some results on Ricci-Bourguignon solitons and almost solitons ⋮ On generalized quasi Einstein standard static spacetimes ⋮ Gradient Ricci solitons admitting a closed conformal vector field ⋮ Triviality results for compact \(k\)-Yamabe solitons ⋮ Some characterizations of gradient Yamabe solitons ⋮ Remarks on scalar curvature of gradient Ricci-Bourguignon sollitons ⋮ On Three Dimensional Cosymplectic Manifolds Admitting Almost Ricci Solitons ⋮ Unnamed Item ⋮ Almost Ricci soliton and gradient almost ricci soliton on 3-dimensional normal almost contact metric manifolds ⋮ \(m\)-quasi-Einstein metric and contact geometry ⋮ INTEGRAL FORMULAE ON QUASI-EINSTEIN MANIFOLDS AND APPLICATIONS ⋮ Triviality results for quasi \(k\)-Yamabe solitons
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Ricci solitons: The equation point of view
- Rigidity of gradient Ricci solitons
- On the long-time behavior of type-III Ricci flow solutions
- Certain conditions for a Riemannian manifold to be isometric with a sphere
- A note on uniformization of Riemann surfaces by Ricci flow
- Noncompact shrinking four solitons with nonnegative curvature
- Three-dimensional Ricci solitons which project to surfaces
- Complete Riemannian Manifolds and Some Vector Fields
This page was built for publication: Some applications of the Hodge-de Rham decomposition to Ricci solitons
