Gradient ambient obstruction solitons on homogeneous manifolds

DOI10.1007/s10455-021-09784-3zbMath1486.53048arXiv2008.09722OpenAlexW3175917102MaRDI QIDQ1979468

Erin Griffin

Publication date: 2 September 2021

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.09722

zbMATH Keywords

metrichomogeneous manifoldgradient solitonambient obstruction flowambient obstruction tensorBach tensor, Bach flow

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (6)

Rigidity of homogeneous gradient soliton metrics and related equations ⋮ Bach flow of simply connected nilmanifolds ⋮ On non-compact gradient solitons ⋮ On homogeneous closed gradient Laplacian solitons ⋮ Three dimensional homogeneous hyperbolic Ricci solitons ⋮ Homogeneous four-manifolds with half-harmonic Weyl curvature tensor

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Bach-flat Lie groups in dimension 4
• On the classification of gradient Ricci solitons
• Ricci flow of locally homogeneous geometries on closed manifolds
• Curvatures of left invariant metrics on Lie groups
• Bach flow
• On Bach-flat gradient shrinking Ricci solitons
• Bach flow on homogeneous products
• Rigidity of gradient Ricci solitons
• Conformally Einstein and Bach-flat four-dimensional homogeneous manifolds
• BACH FLOWS OF PRODUCT MANIFOLDS
• The Ambient Metric (AM-178)
• Short-Time Existence for Some Higher-Order Geometric Flows
• Uniqueness for some higher-order geometric flows
• On gradient Ricci solitons with symmetry
• Ambient obstruction flow
• Geometric flows and their solitons on homogeneous spaces

This page was built for publication: Gradient ambient obstruction solitons on homogeneous manifolds