Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Euler-like vector fields, deformation spaces and manifolds with filtered
  structure   The first purpose of this note is to comment on a recent article of Bursztyn,
Lima and Meinrenken, in which it is proved that if M is a smooth submanifold of
a manifold V, then there is a bijection between germs of tubular neighborhoods
of M and germs of "Euler-like" vector fields on V. We shall explain how to
approach this bijection through the deformation to the normal cone that is
associated to the embedding of M into V. The second purpose is to study
generalizations to smooth manifolds equipped with Lie filtrations. Following in
the footsteps of several others, we shall define a deformation to the normal
cone that is appropriate to this context, and relate it to Euler-like vector
fields and tubular neighborhood embeddings.

23
The categories of this paper are: solv-int
22
The categories of this paper are: chao-dyn
25
The categories of this paper are: patt-sol
36
The categories of this paper are: cmp-lg
11
The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an
24
The categories of this paper are: dg-ga
17
The categories of this paper are: q-fin
3
The categories of this paper are: physics
9
The categories of this paper are: nlin
13
The categories of this paper are: quant-ph
18
The categories of this paper are: econ
1
The categories of this paper are: cs
16
The categories of this paper are: stat
4
The categories of this paper are: cond-mat
10
The categories of this paper are: q-bio