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Learning Math
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12 votes
2 answers
3k views

How to prove that the Cantor ternary function is not weakly differentiable?

8 votes
1 answer
3k views

Precise definition of conformal structure based on a Riemannian metric on a Riemann surface

7 votes
1 answer
801 views

Conformal automorphism of $H^n$

7 votes
1 answer
2k views

Hyperbolic metric on the torus?

7 votes
0 answers
1k views

Taylor expansion of Riemannian exponential map and Jacobi fields?

6 votes
2 answers
383 views

Two hyperbolic surfaces corresponding to conjugate Fuchsian groups are isometric

6 votes
2 answers
129 views

How can we compute this quantity, constructed using motivation from Vandermonde's identity?

5 votes
1 answer
1k views

Existence of minimizing geodesic in each fixed-end-point homotopy class in a complete manifold?

5 votes
2 answers
550 views

Boundedness of the norm of the Riemann curvature tensor

5 votes
1 answer
712 views

Flow of a left invariant vector field on a Lie group equipped with left-invariant metric and the group's geodesics

4 votes
0 answers
247 views

Concentration (or two sided tail bounds around expectations) of maximum and minimum of $n$ iid, subgaussian random variables

4 votes
1 answer
2k views

Derivative of exponential maps in Lie group $G$ and the adjoint operator on its Lie algebra

4 votes
0 answers
178 views

Question regarding the projective models of the anti-de-Sitter spaces and good online references for learning them from the scratch? (Specifics below)

4 votes
1 answer
213 views

Is the following set (path) connected?

4 votes
0 answers
518 views

PDF and CDF of the ratio of the max to min of an iid random sample: a quick check of the calculation!

4 votes
0 answers
210 views

Examples and characterizations of totally geodesic maps

3 votes
1 answer
782 views

If $U$ is uniformly distributed on $S^{d-1} \subset \mathbb{R}^d$, what's the distribution of its orthogonal projection onto any vector?

3 votes
1 answer
576 views

Is a uniform distribution on a sphere always a norm-scaled normal $\mathcal{N}(0,I_d)$ distribution?

3 votes
1 answer
890 views

Relation between parallel vector field along a geodesic and Jacobi field along that same geodesic

3 votes
1 answer
360 views

Poisson integral on $\mathbb{H}$ for boundary data which is orientation-preserving homeomorphism of $\mathbb{R}$

3 votes
4 answers
2k views

What is a reference for the ( classical and well-known ) proof of Weyl's lemma?

3 votes
2 answers
324 views

What is topologically the set of all straight lines in $\mathbb{R}^d$? More structures on it?

3 votes
2 answers
999 views

Expression for Lipschitz constant for the $L^p$ norm function on $\mathbb R^n$

3 votes
0 answers
579 views

Is it a (minor) typo in the proof of Roman Vershynin's "High dimensional probability with application to data science" (linked), Theorem 3.1.1

3 votes
1 answer
220 views

Possible to have $m$-dimensional $C^k$ embedded submanifold in $\mathbb{R}^p$ with canonical projections onto $m$ dimensions are of dim $<m$ a.e.?

3 votes
1 answer
239 views

Does my proof show that the sequence of measures defined using mollifiers with shrinking support converges weakly to the Dirac measure?

3 votes
0 answers
32 views

Is any $m$-dimensional strict vector subspeace (so $m<p$) a rotational image of the Euclidean subspace $\mathbb{R}^m$?

3 votes
1 answer
69 views

Value of the limit without (or with, but giving rigorous arguments) using the Taylor expansion of sin

2 votes
1 answer
227 views

Variational formulation for first eigenfunction for compact self-adjoint integral operators, and request for references

2 votes
1 answer
44 views

Positive functions which doesn't get multiplied too fast/doesn't grow too fast

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