On the stability of Einstein manifolds
From MaRDI portal
Publication:2254175
DOI10.1007/s10455-014-9436-yzbMath1311.53044arXiv1311.6749OpenAlexW3100272571WikidataQ125823908 ScholiaQ125823908MaRDI QIDQ2254175
Publication date: 4 February 2015
Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1311.6749
Euler characteristicKähler manifoldWeyl tensorvariational stabilityEinstein-Hilbert actionBochner tensor
Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Fiber spaces and bundles in algebraic topology (55R99)
Related Items
On the Lichnerovicz Laplacian ⋮ Stable cosmological Kaluza-Klein spacetimes ⋮ On the \(\sigma_2\)-curvature and volume of compact manifolds ⋮ Stable cosmologies with collisionless charged matter ⋮ Local and global scalar curvature rigidity of Einstein manifolds ⋮ Global stability of spacetimes with supersymmetric compactifications ⋮ The stability of generalized Ricci solitons ⋮ Stability and moduli space of generalized Ricci solitons ⋮ Stability of Ricci de Turck flow on singular spaces ⋮ On infinitesimal Einstein deformations ⋮ Variational Stability and Rigidity of Compact Einstein Manifolds ⋮ Geometry in the large of the kernel of Lichnerowicz Laplacians and its applications ⋮ Attractors of the Einstein-Klein-Gordon system ⋮ Nonlinear stability of the Milne model with matter ⋮ Nonlinear wave equation in a cosmological Kaluza Klein spacetime ⋮ Perelman’s entropies for manifolds with conical singularities ⋮ The stability of standard homogeneous Einstein manifolds ⋮ Stability and instability of Ricci solitons ⋮ Deformations of \(Q\)-curvature. II. ⋮ Stability of compact symmetric spaces
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Einstein spaces as attractors for the Einstein flow
- On the second derivative of the total scalar curvature
- Perelman's lambda-functional and the stability of Ricci-flat metrics
- On the variational stability of Kähler-Einstein metrics
- Einstein metrics and complex structures
- Rigidity and stability of Einstein metrics - The case of compact symmetric spaces
- Non-deformability of Einstein metrics
- On Einstein manifolds of positive sectional curvature
- Unstable Einstein metrics
- On Einstein metrics
- Isolation of the Weyl conformal tensor for Einstein manifolds.
- Isolation theorems of the Bochner curvature type tensors
- On the stability of Riemannian manifold with parallel spinors
- Linear and dynamical stability of Ricci-flat metrics
- On eigen-values of Laplacian and curvature of Riemannian manifold
- Certain conditions for a Riemannian manifold to be isometric with a sphere
- Instability of flat space at finite temperature
- Manifolds with 1/4-pinched curvature are space forms
- Ricci Flow, Einstein Metrics and Space Forms
This page was built for publication: On the stability of Einstein manifolds