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Mar
17
accepted Is there a name for this metric on a Borel sets
Mar
17
asked Is there a name for this metric on a Borel sets
Dec
30
awarded  Yearling
Mar
20
awarded  Curious
Oct
7
comment A taut string of equilateral triangles
Perhaps consider approximating the "no crossing" condition with a smooth repulsive potential energy. Also approximate the tautness with an energy which grows with the total length. See what if anything can be said when limits of infinite stiffness are taken. Tge solution should minimize these energies
Aug
19
comment Euler-Poincaré equations with constraints
I guess so. The use of a Finsler metric and linear constraints wont change things. The lagrangian in the above equation is arbitrary. The use of affine constraints does change the equations (not sure how to write it though). However, "linear" is a special case of "affine", so the argument should still work.
Aug
19
answered Euler-Poincaré equations with constraints
Aug
19
comment Construction of the Lie functor: left vs. right invariant vector fields on Lie groups and Lie groupoids
Perhaps the answer to (2) is "yes". I get the impression from books by Jerry Marsden on mechannics that much of Lie's work was motivated by studying the Rigid body. Here the phase space ends up being the left invariant vector-fields, and this may have motivated Lie's convention. Just a guess, so I'm hesitant to post it as an answer.
Aug
7
awarded  Commentator
Aug
7
comment Does every compact manifold exhibit an almost global chart
Thank you for the reference Igor. I was unaware of the nowhere dense property.
Aug
7
accepted Does every compact manifold exhibit an almost global chart
Aug
5
awarded  Revival
Aug
3
awarded  Nice Question
Aug
2
revised Does every compact manifold exhibit an almost global chart
deleted 107 characters in body
Aug
2
asked Does every compact manifold exhibit an almost global chart
Aug
2
revised Symplectic Koopmanism
added 120 characters in body
Jul
30
answered Symplectic Koopmanism
Jan
10
comment Explicit form for hermitian structure $h$ with respect to $\omega$
Sorry, I am not familiar with the notation. Is $\frac{i}{2} \partial \bar{\partial} \equiv \frac{i}{2} \Delta$? Also, what is $lnh$ vs $h$?
Jan
10
comment Authorship, and order of authors
This situation arises frequently when doing interdisciplinary research. I'm early in my career, and I've decided to be a bit more aggressive when I do 85% of the work by asking that I be first author. I don't know who on a hiring committee will read my CV, but often it will not be a mathematician.
Dec
16
answered are there natural examples of classical mechanics that happens on a symplectic manifold that isn't a cotangent bundle?