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- W3138791810 abstract "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 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." @default.
- W3138791810 created "2021-03-29" @default.
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- W3138791810 date "2018-01-01" @default.
- W3138791810 modified "2023-10-16" @default.
- W3138791810 title "Euler-Like Vector Fields, Deformation Spaces and Manifolds with Filtered Structure" @default.
- W3138791810 doi "https://doi.org/10.4171/dm/619" @default.
- W3138791810 hasPublicationYear "2018" @default.
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