Four-dimensional homogeneous critical metrics for quadratic curvature functionals

Differential geometry of homogeneous manifolds (53C30) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Global Riemannian geometry, including pinching (53C20)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
On low-dimensional solvmanifolds
Bach-flat Lie groups in dimension 4
Homogeneous Ricci solitons are algebraic
Critical metrics of the Schouten functional
Geometric structures on compact complex analytic surfaces
Conformally flat Riemannian manifolds admitting a transitive group of isometries
Curvatures of left invariant metrics on Lie groups
The volume of a small geodesic ball of a Riemannian manifold
Homogeneous Ricci solitons
Rigidity and stability of Einstein metrics for quadratic curvature functionals
Conformally Einstein and Bach-flat four-dimensional homogeneous manifolds
Curvature and metric
Homogeneous Einstein spaces of dimension four
Product structures on four dimensional solvable Lie algebras
Three-dimensional homogeneous critical metrics for quadratic curvature functionals
Ricci soliton solvmanifolds
Noncompact shrinking four solitons with nonnegative curvature
On gradient Ricci solitons with symmetry
Explicit Functional Determinants in Four Dimensions
Invariants of real low dimension Lie algebras
A critical metric for the 𝐿²-norm of the curvature tensor on 𝑆³
A new variational characterization of 𝑛-dimensional space forms
Critical metrics for all quadratic curvature functionals
A Perspective on Canonical Riemannian Metrics
Ideals, Varieties, and Algorithms
Homogeneous Ricci Solitons in Low Dimensions
LOCALLY HOMOGENEOUS CRITICAL METRICS ON FOUR-DIMENSIONAL MANIFOLDS
UNIMODULAR GROUPS OF TYPE ℝ³⋊ ℝ
Critical Metrics for Riemannian Curvature Functionals
Quelques formules de variation pour une structure riemannienne
Lie groups beyond an introduction
A new variational characterization of three-dimensional space forms
Ricci soliton homogeneous nilmanifolds

This page was built for publication: Four-dimensional homogeneous critical metrics for quadratic curvature functionals