math214:02-12
Differences
This shows you the differences between two versions of the page.
| Next revision | Previous revision | ||
|
math214:02-12 [2020/02/12 06:37] pzhou created |
math214:02-12 [2026/02/21 14:41] (current) |
||
|---|---|---|---|
| Line 14: | Line 14: | ||
| $$ V = \{(x,v) \in NM : |v| < \delta(x) \}$$ | $$ V = \{(x,v) \in NM : |v| < \delta(x) \}$$ | ||
| for some positive continuous function $\delta: M \to \R$. | for some positive continuous function $\delta: M \to \R$. | ||
| + | |||
| + | See Thm 6.24 for a proof of the existence of a tubular neighborhood. Mainly, one try to construct the ' | ||
| + | |||
| + | We define a map $r: U \to M$, that is identity map when restrict to $M$, such a map is called a retraction. | ||
| + | $r: = \pi \circ E^{-1}$, where $\pi: NM \to M$ is the projection map. | ||
| + | |||
math214/02-12.1581489425.txt.gz · Last modified: 2026/02/21 14:44 (external edit)
Page Tools
Except where otherwise noted, content on this wiki is licensed under the following license: CC Attribution-Share Alike 4.0 International
