Timeline for Why is it impossible to reduce a linear PDE of the second order in more than two independent variables to canonical form globally
Current License: CC BY-SA 3.0
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| Mar 27, 2014 at 8:52 | comment | added | Robert Bryant | The point is that, when $n\ge3$, the symmetric quadratic $(2,0)$-form $\alpha = \alpha^{ij}\partial_i\partial_j$ (which is the principal symbol of the equation) will typically have conformal invariants when it is nondegenerate, i.e., there will usually not be any change of coordinates that reduces it to having constant coefficients. | |
| Mar 27, 2014 at 5:42 | history | edited | azhi | CC BY-SA 3.0 |
added 177 characters in body
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| Mar 27, 2014 at 5:29 | comment | added | Igor Khavkine | What is your notion of canonical form? | |
| Mar 27, 2014 at 3:12 | history | asked | azhi | CC BY-SA 3.0 |