bio | website | |
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location | Leipzig, Germany | |
age | ||
visits | member for | 2 years, 8 months |
seen | yesterday | |
stats | profile views | 407 |
Apr 6 |
comment |
Reference Request: Elliptic differential operators in the Fréchet setting
Thank you for this reference, looks indeed like a good start. In addition, the work "The inverse function theorem of Nash and Moser" of Hamilton also treatises differential operators and even a big part of the elliptic theory (discusses for example greens functions). More literature recommendations are still highly welcomed. |
Apr 6 |
asked | Reference Request: Elliptic differential operators in the Fréchet setting |
Feb 19 |
answered | Exponential mapping versus flow |
Feb 9 |
awarded | Popular Question |
Jan 17 |
revised |
Curvature as infinitesimal holonomy
deleted 14 characters in body |
Jan 17 |
comment |
Curvature as infinitesimal holonomy
Thanks abx for the reference to the Ambrose-Singer theorem. I see the close relationship between my question and this theorem, but I think the derivative of the holonomy is even a stronger result. I updated my question to better clarify my idea and the intuition one gets from the abelian case. @ Liviu: Thank you for the link! This goes in the direction I had in mind. Do you know why one can restrict ones attention to a small parallelogram and does not consider arbitrary small loops? |
Jan 17 |
revised |
Curvature as infinitesimal holonomy
added 627 characters in body |
Jan 17 |
asked | Curvature as infinitesimal holonomy |
Dec 30 |
comment |
Design slides for presentation (conference talk)
Why is this question off-topic? What is more relevant to a researcher than to present their own work in a good and comprehensible way? (Also mathoverflow.net/questions/29866/… is a comparable question, just that my current question is more about the slides and not the whole talk) |
Dec 29 |
asked | Design slides for presentation (conference talk) |
Dec 10 |
comment |
Parametrised Hilbert spaces; can we put a norm on the following space of Hilbert spaces?
In your problem, do you have an explicit dependence of $\Omega_s$ from $s$ which allows you to define a continuous map from $H(s)$ to $H(s')$ for every $s < s'$ or $s > s'$? In that case you might want to have a look at the inverse and direct limit construction of topological vector spaces. In this way you don't have a topology on $H$ but have nonetheless a limit space $\lim H(s)$. |
Dec 7 |
comment |
Parameter dependent differential equation in a Lie group
I think you refer to Theorem B3, which however only handles the case of a scalar parameter $\epsilon \in \mathbb{R}$. Thanks nonetheless! |
Dec 7 |
revised |
Parameter dependent differential equation in a Lie group
Made clear that only a reference is searched for. |
Dec 4 |
revised |
Parameter dependent differential equation in a Lie group
added 6 characters in body |
Dec 4 |
asked | Parameter dependent differential equation in a Lie group |
Nov 24 |
answered | Space of differential operators |
Nov 20 |
comment |
A good primer for geometric quantization.
It is a great book, but it puts its focus more on the inverse direction - the semisclassical limit. I think only the last chapter is truely about Geometric Quantization, and there the presentation differs from the usual construction. |
Nov 15 |
awarded | Nice Question |
Nov 10 |
comment |
Is “problem solving” a subject to be taught?
I think statements for the whole of Germany are problematic in light of the heterogeneous education system in which every federal state has its own standards. A good overview of the mathematical knowledge at the end of the schooldays can be found here: dpg-physik.de/dpg/gliederung/ag/ags/… (in German) |
Nov 9 |
answered | are there natural examples of classical mechanics that happens on a symplectic manifold that isn't a cotangent bundle? |