- #1

- 367

- 0

You are using an out of date browser. It may not display this or other websites correctly.

You should upgrade or use an alternative browser.

You should upgrade or use an alternative browser.

- Thread starter fk378
- Start date

- #1

- 367

- 0

- #2

- 236

- 0

If you post the definition I might be able to help. I left my manifolds book at school.

- #3

quasar987

Science Advisor

Homework Helper

Gold Member

- 4,783

- 18

- #4

- 367

- 0

If you post the definition I might be able to help. I left my manifolds book at school.

Suppose F: M-->N is a diffeomorphism. For every Y in TM (tangent bundle to M), there is a unique smooth vector field on N that is F-related to Y.

- #5

- 367

- 0

Yes, I understand the smooth and bijective part, but what about the non-diffeo part?

- #6

quasar987

Science Advisor

Homework Helper

Gold Member

- 4,783

- 18

Then I hinted to the fact that your book defines the notion when F is diffeo probably because in that case, we are in the nice situation where to every vector field on N there exists a unique F-related vector field on M... which is probably the property that the authors needed.

Share: