bio | website | hoj201academic.wordpress.com |
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location | London, United Kingdom | |
age | 29 | |
visits | member for | 3 years, 2 months |
seen | Oct 7 at 16:31 | |
stats | profile views | 135 |
I study medical imaging, fluid mechanics, bio-locomotion using tools from differential geometry.
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-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 |