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Aug
26
comment Definition of homeomorphic?
Which source are you looking at?
Aug
25
comment If $p$, $q$, and $r$ are all odd primes, which of $p^2-q^2+1$, $pqr+3$, and $(p+2)(r+2)+1$ can be prime?
Where did you get stuck?
Aug
25
answered How to construct the horizontal bundle?
Aug
20
comment Integral with Bessel Functions
Wolfram alpha exceeds its standard computational time when given this. Have you evaluated it numerically?
Aug
20
answered Restriction of differential $1$-forms to open subsets?
Aug
20
answered Geometry of Analysis
Aug
18
comment Do there exist equidistributed countable subgroups in (compact) Lie groups?
Ah, thank you. That is a much more interesting question! :)
Aug
18
comment Do there exist equidistributed countable subgroups in (compact) Lie groups?
Ah, you mean something different by "discrete subgroup" than I'm used to. In your example, I wouldn't call that a discrete subgroup since it's not, well, discrete in $U(1)$. Would you mind editing your definition into the question and we'll go from there?
Aug
18
comment Do there exist equidistributed countable subgroups in (compact) Lie groups?
First, if you're looking at compact Lie groups, then discrete subgroups will be finite, so you can remove the limit from the right side of your question. Second, seems to me that, given any discrete set in any smooth manifold, one can take a bump function of mass one supported away from the set. In particular this should provide a counterexample to your question, unless I'm missing something obvious.
Aug
9
comment Error when computing geodesics in hyperbolic half plane
Good answer. Perhaps elaborate on your first sentence? There's an ambiguity
Aug
6
comment Computing curvature of hyperbolic space
Polar coordinates in the disk model, cartesian coordinates in the upper half plane model.
Aug
4
answered How to prove Weyl’s asymptotic law for the eigenvalues of the Dirichlet Laplacian?
Aug
3
comment How to find a permutation $\sigma$ given the permutation $\sigma^2$?
Have you tried to find a cycle decomposition?
Jul
28
answered Is it possible to solve for $m$ in a linear equation without knowing $b$?
Jul
23
comment Probability of Punctures for a group of cyclists
@EricRichardson Right. The difference is the probability of a single person getting a puncture versus the probability of someone in the group getting a puncture.
Jul
23
answered Probability of Punctures for a group of cyclists
Jul
23
comment Prove there exists a constant $K>0$ such that $|e^z-1-z-\frac{z^2}{2}|<K|z^3|$ as $z \to 0$
What is asymptotics but sexed-up Taylor expansions?
Jul
23
answered What are intuitively the diffeomorphisms $\theta^t(p)=\Theta (t,p)$, associated to the local flux $\Theta$ of the vector field $X$?
Jul
22
comment Integration of exponential functions and cosine function
Power series for the exponential and then integrate each term by parts?
Jul
21
comment Example of a surface where more than one coordinate patch is needed.
Try a hyperbolic surface.