Stability of geometric flows of closed forms

2018/11/23 by Bedulli, Lucio, Vezzoni, Luigi · 2 citations
#35K55 #53C10 #53C25 #53C44 #53C55 #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1811.09416

Abstract

We prove a general result about the stability of geometric flows of "closed" sections of vector bundles on compact manifolds. Our theorem allows to prove a stability result for the modified Laplacian coflow in G2-geometry introduced by Grigorian and for the balanced flow introduced by the authors in a previous paper.

Cited by

• G₂-Poisson equation on homogeneous spheres
• Nearly G₂-manifolds and G₂-Laplacian co-flows

Related

• The stability conjecture for geodesic flows of compact manifolds without conjugate points and quasi-convex universal covering
• Stability of the generalized Lagrangian mean curvature flow in cotangent bundle
• The J-flow and stability
• BRIDGES Lectures: Flows of geometric structures, especially G₂-structures
• Geometric Flows of G₂ Structures