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3 votes

Equivalence problem of classifying heat equations

I'll just add a few more references to what Ben McKay mentioned. Phillip Griffiths and I wrote a paper on invariants of parabolic equations in 1 space variable (Characteristic cohomology of differenti …
Robert Bryant's user avatar
6 votes

Weakest condition for an integrable, almost-symplectic manifold?

Actually, there is a much weaker condition than 'strongly Hamiltonian' if all you want to do is preserve the associated volume form: For a given 'Hamiltonian' $H$ and a non-degenerate $2$-form $\omeg …
Robert Bryant's user avatar
8 votes
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Building a geodesic conjugate parameterization on catenoid

I thought about your problem and realized that there is no coordinate parametrization of the catenoid with the properties that you want. Here is my argument: First, note that, in the given $uv$-param …
Robert Bryant's user avatar