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Graduate Why Does the Contraction Term Vanish in the Divergence Theorem on Manifolds?
Thank you! I guess I forgot about the isomorphism.- mathmeat
- Post #3
- Forum: Differential Geometry
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Graduate Why Does the Contraction Term Vanish in the Divergence Theorem on Manifolds?
Hi, I'm having some trouble understanding this theorem in Lang's book, (pp. 497) "Fundamentals of Differential Geometry." It goes as follows: \int_{M} \mathcal{L}_X(\Omega)= \int_{\partial M} \langle X, N \rangle \omega where N is the unit outward normal vector to \partial M , X...- mathmeat
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- Divergence Divergence theorem Manifolds Theorem
- Replies: 2
- Forum: Differential Geometry