bio | website | math.princeton.edu/~macbeth |
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location | Princeton | |
age | 28 | |
visits | member for | 5 years, 8 months |
seen | yesterday | |
stats | profile views | 2,244 |
I'm a fifth-year graduate student in Princeton.
Feb
13 |
comment |
How to find isothermal coordinates equivalent to circles in far limit?
This is interesting, Bob, but can you explain more? I'm not quite sure what you mean by "symmetric about the z = 0 plane" -- do you mean the same as "transformation of the complex plane symmetric about the y-axis"? |
Feb
12 |
asked | Self-intersection and generic point |
Feb
11 |
answered | How to find isothermal coordinates equivalent to circles in far limit? |
Feb
4 |
comment |
Measurability of eigenelements $s \mapsto (\varphi_k(s), \lambda_k(s))$ of Laplace-Beltrami on $M_s$
Just checking -- are you aware of work (including various pathologies) on the corresponding question for linear operators in general? For example, in Kato, <em>Perturbation Theory for Linear Operators</em>. |
Nov
15 |
awarded | Nice Question |
Sep
24 |
awarded | Autobiographer |
Jul
2 |
awarded | Curious |
Dec
26 |
awarded | Yearling |
Oct
15 |
awarded | Caucus |
Oct
15 |
awarded | Constituent |
Jul
22 |
awarded | Informed |
Jun
25 |
awarded | Citizen Patrol |
Jun
19 |
answered | Aubin's book - construction of Green's function on compact manifold |
Mar
7 |
awarded | Popular Question |
Feb
27 |
asked | “Mathai-Quillen-type” form on $M\times M$? |
Dec
26 |
awarded | Yearling |
Dec
8 |
awarded | Organizer |
Dec
7 |
revised |
Is the closure of the orbits of the mean curvature flow compact for a finite time?
edited tags |
Oct
18 |
comment |
Invariance group of Morse charts
(2.) Yes, we're interested in the diffeomorphisms satisfying $\varphi \circ f = \varphi$. Such a diffeo $f$ has the property that, on each level set $\{x:|x|^2=r\}$, $f$ restricts to a diffeo of the level set. Moreover the possible $f$ are basically characterized by this property. Think of $f$ as a (germ of a) 1-parameter family of diffeomorphisms of the $(n-1)$-sphere, modulo some boundary conditions (tending to the identity near 0) to ensure smoothness at $p$. |
Oct
18 |
comment |
Invariance group of Morse charts
Hi Will (and Kofi). (1.) It seems to me that one can work with the set of germs of charts near p, and the group of germs of diffeomorphisms fixing p. Then the action is well-defined and free and transitive. |