### Questions (29)

 5 Given a self-map $h$ of a (closed?) manifold, is there a vector field $\xi$ with flow $\Phi_t$ such that $h = \Phi_1$? 5 Is the Antiderivative of an Elementary Function Being Nonelementary Generic? 4 Inner Product on Lie Algebra So the Exponential Map Becomes the Matrix Exponential? 4 Find Antiderivative 1-Form from 2-Form? 3 Smooth Elementary Function that Outgrows All Tower Functions?

### Reputation (423)

 +4 Lie group action on manifold and the vector field generated +10 Find Antiderivative 1-Form from 2-Form? +10 Anti-curl operator +10 Presentation for Binary Icosahedral Group "Using" Presentation for $A_5$

 2 Differential forms and line integral in rotation group SO(3) 2 Anti-curl operator 2 Vector Field/Differential Equation Correspondence 1 Follow-up to given a self-map $h$ of a (closed?) manifold, is there a vector field $\xi$ with flow $\Phi_t$ such that $h=\Phi_1$? 1 Given a self-map $h$ of a (closed?) manifold, is there a vector field $\xi$ with flow $\Phi_t$ such that $h = \Phi_1$?

### Tags (50)

 5 ordinary-differential-equations × 18 2 algebraic-topology × 9 4 differential-forms × 11 2 dynamical-systems × 6 4 vector-fields × 7 2 smooth-manifolds × 4 3 differential-topology × 16 2 lie-groups × 3 3 vector-analysis × 4 2 differential-geometry × 2

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