Some triviality results for quasi-Einstein manifolds and Einstein warped products
From MaRDI portal
Publication:2248887
DOI10.1007/s10711-013-9852-3zbMath1293.53056arXiv1011.0903OpenAlexW3104521212MaRDI QIDQ2248887
Michele Rimoldi, Paolo Mastrolia
Publication date: 27 June 2014
Published in: Geometriae Dedicata (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1011.0903
Related Items
On the classification of 4-dimensional \((m,\rho )\)-quasi-Einstein manifolds with harmonic Weyl curvature ⋮ The nonexistence of gradient almost Ricci solitons warped product ⋮ Rigidity of critical metrics for quadratic curvature functionals ⋮ Half conformally flat generalized quasi-Einstein manifolds of metric signature (2,2) ⋮ Remarks on compact quasi-Einstein manifolds with boundary ⋮ Classification of warped product pointwise semi-slant submanifolds in complex space forms
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the classification of warped product Einstein metrics
- New inhomogeneous Einstein metrics on sphere bundles over Einstein-Kähler manifolds
- Rigidity of quasi-Einstein metrics
- On the classification of gradient Ricci solitons
- The nonexistence of quasi-Einstein metrics
- Remarks on non-compact gradient Ricci solitons
- A remark on Einstein warped products
- An extension of E. Hopf's maximum principle with an application to Riemannian geometry
- Comparison geometry for the Bakry-Emery Ricci tensor
- Diffusion-type operators, Liouville theorems and gradient estimates on complete manifolds
- Ricci solitons: The equation point of view
- Keller-Osserman conditions for diffusion-type operators on Riemannian manifolds
- Volume growth, ``a priori estimates, and geometric applications
- A Liouville-type result for quasi-linear elliptic equations on complete Riemannian manifolds
- Scalar curvature, metric degenerations and the static vacuum Einstein equations on 3-manifolds. I
- Rigidity of gradient Ricci solitons
- Liouville theorems for symmetric diffusion operators on complete Riemannian manifolds
- Ricci almost solitons
- On gradient Ricci solitons with symmetry
- Maximum principles on Riemannian manifolds and applications
- Compact Einstein warped product spaces with nonpositive scalar curvature
- SMOOTH METRIC MEASURE SPACES AND QUASI-EINSTEIN METRICS
- Scalar curvature deformation and a gluing construction for the Einstein constraint equations