In local coordinates what will be the wave equations for compact lie groups ? The eqation is $$\partial^2_tu-a(t)Lu=f$$
where L is the laplacian in G. What is this in local coordinates?
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Edited your question to make the $\LaTeX$ of the equation clear. Remember your "$$" signs! Cheers! – Robert Lewis Feb 13 '18 at 17:28
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I assume $\delta_t^2 u = \partial^2 u / \partial t^2$. Correct? – Robert Lewis Feb 13 '18 at 17:29
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1yes. correct. It is \partial^2u/\partial t^2. – Bull Feb 13 '18 at 18:08
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By the way, you might try and remember to surround your $\LaTeX$ with "$" signs, thusly: "$\LaTeX$"; it's almost unreadable otherwise! If you look at other questions and answers in "edit" mode, you can see how it's done! Cheers! – Robert Lewis Feb 13 '18 at 18:20