- #1

- 10

- 0

I have a question if it possible,

Let X a tangantial vector field of a riemannian manifolds M, and f a smooth function define on M.

Is it true that X(exp-f)=-exp(-f).X(f)

And div( exp(-f).X)=exp(-f)〈gradf, X〉+exp(-f)div(X)?

Thank you

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- I
- Thread starter aboutammam
- Start date

- #1

- 10

- 0

I have a question if it possible,

Let X a tangantial vector field of a riemannian manifolds M, and f a smooth function define on M.

Is it true that X(exp-f)=-exp(-f).X(f)

And div( exp(-f).X)=exp(-f)〈gradf, X〉+exp(-f)div(X)?

Thank you

- #2

- 17,308

- 7,150

These should be fairly simple things to derive yourself.

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