182

Answers
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25
Useless math that became useful
15
Does it make sense to talk about smooth bundles of Hilbert spaces?
13
On similar concepts in mathematics whose similarity is a non-trivial fact. (2)
12
Intuition for mean curvature.
12
Two different analytic curves cannot intersect in infinitely many points
12
Space of sections of a fibre bundle with non-compact base space
12
Barrelled, bornological, ultrabornological, semi-reflexive, … how are these used?
10
Poincaré lemma in infinite dimensions
10
Under exactly what (extra) conditions (if any) is a connected Hausdorff manifold with a Riemannian metric a metric space?
10
$f^3,f^2$ are the cube and quadratic of f respectively and both infinite differentiable on $R$,how to show so is $f$
9
Diff(M) and connectedness
9
How are infinite-dimensional manifolds most commonly treated?
9
how to find/define eigenvectors as a continuous function of matrix?
8
Polynomial Embedding
7
Metric on tangent bundle
7
determinants and polynomials in matrices
7
geometric interpretation of Lie bracket
7
What is Kirillov’s method good for?
6
What is visualization of gradient flow of a functional?
6
Is there a nice application of category theory to functional/complex/harmonic analysis?
6
Isometric embedding of a compact Lie Group in $M(n,\mathbb{C})$
6
Why is differentiating mechanics and integration art?
6
Interpretation of Riemann tensor antisymmetry
6
Why is the Leibniz rule a definition for derivations?
6
Stokes theorem for manifolds without orientation?
6
Nash Embedding Theorems for Pseudo-Riemannian Manifolds?
5
Is the space of diffeomorphisms homotopy equivalent to a CW-complex?
5
Different notions of geodesics.
5
$C^k$ topology of metrics
5
Lie derivative of curvature
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