5

10_ If F: R' _ R} is a diffeomorphism and M is a surface in R' prove that the image F(M) is also a surface in R?. (Hint: If x is a patch in M then the com...

Question

10_ If F: R' _ R} is a diffeomorphism and M is a surface in R' prove that the image F(M) is also a surface in R?. (Hint: If x is a patch in M then the composite function F(x) is regular; since F(x)* FsX* by Ex. 9 of Sec: 1.7.)

10_ If F: R' _ R} is a diffeomorphism and M is a surface in R' prove that the image F(M) is also a surface in R?. (Hint: If x is a patch in M then the composite function F(x) is regular; since F(x)* FsX* by Ex. 9 of Sec: 1.7.)

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