Differential geometry of weightings

被引：1
|
作者：
Loizides, Yiannis
Meinrenken, Eckhard
机构：
来源：
ADVANCES IN MATHEMATICS | 2023年 / 424卷
关键词：
Lie filtrations; Hypoelliptic operators; Weightings; Quasi-homogeneous structures; Graded bundles; NILPOTENT APPROXIMATION; DEFORMATION SPACES; CARNOT MANIFOLDS; GRADED BUNDLES; VECTOR-FIELDS; NORMAL FORMS; BLOW-UP; CONSTRUCTIONS;
D O I：
10.1016/j.aim.2023.109072
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We describe the notion of a weighting along a submanifold N & SUBE; M, and explore its differential-geometric implications. This includes a detailed discussion of weighted normal bundles, weighted deformation spaces, and weighted blow-ups. We give a description of weightings in terms of subbundles of higher tangent bundles, which leads us to notions of multiplicative weightings for Lie algebroids and Lie groupoids. & COPY; 2023 Elsevier Inc. All rights reserved.
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页数：49
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