A remark on Euler-like vector fields

2025/04/16 by Gao, Haoyuan
#Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2504.12227

Abstract

In this note, we show that (the germ of) each Euler-like vector field comes from a tubular neighborhood embedding given by the normal exponential map of some Riemannian metric.

Citations

• Spinors and the tangent groupoid
• Deformation spaces and normal forms around transversals
• Euler-like vector fields, deformation spaces and manifolds with filtered\n structure
• Splitting theorems for Poisson and related structures

Related

• Euler-like vector fields, deformation spaces and manifolds with filtered\n structure
• Exponential map of germs of vector fields
• A note on gradient-like vector fields
• Tubed embeddings
• The exponential map for time-varying vector fields