179 reputation
9
bio website hoj201academic.wordpress.com
location London, United Kingdom
age 29
visits member for 3 years, 2 months
seen Sep 22 at 14:55

I study medical imaging, fluid mechanics, bio-locomotion using tools from differential geometry.


Aug
19
comment Euler-Poincare 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-Poincare 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?
Dec
16
answered Cotangent bundle lift theorem
Dec
16
answered measure with given push-forwards
Dec
7
revised Cotangent bundle lift theorem
If $G:T^*M \to T^*M$ is a fiber map over the identity when $\pi \circ G = \pi$. I think you wrote $dG \circ d\pi = d\pi$ when you meant to write $d\pi \circ dG = d\pi$. Also a parenthesis was missing.
Dec
7
suggested suggested edit on Cotangent bundle lift theorem
Jul
31
awarded  Teacher