Given two diffeomorphisms A and B, each of which is also a vector field, that is,

each entry of A or B is a vector. For example,

A =

Does anybody know how to calculate the product of A and B?

Thanks!

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- March 12th 2009, 12:45 PMJenny83Multiplication of diffeomorphisms
Given two diffeomorphisms A and B, each of which is also a vector field, that is,

each entry of A or B is a vector. For example,

A =

Does anybody know how to calculate the product of A and B?

Thanks! - June 22nd 2009, 04:30 AMRebesques
Multiply as you would with real matrices, only now use dot products instead of multiplications.