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Answers

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86

Elementary+Short+Useful (3)

61

Which mathematicians have influenced you the most?

48

Famous mathematical quotes

30

An inequality for cosine of n

20

Can a connected planar compactum minus a point be totally disconnected?

19

Mathematical “urban legends”

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Light rays bouncing in twisted tubes

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Your favorite surprising connections in Mathematics

15

Space of metrics with positive sectional curvature

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When does the set of isometries form a group?

14

Why are isometries of Minkowski space necessarily linear?

14

What should be taught in a 1st course on smooth manifolds?

14

What is the defining formula for Sectional Curvature

14

How many times line segments can intersect a Jordan curve?

13

Does a Riemannian manifold with bounded geometry admit an isometric proper embedding into Euclidean space with uniformly thick tubular neighborhood

13

Converse to Milnor’s theorem on manifolds with nonnegative Ricci curvature.

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Down-To-Earth Uses of de Rham Cohomology to Convince a Wide Audience of its Usefulness

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Are there smooth bodies of constant width?

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Geodesics in $\mathbb{R^2} \times \mathbb{S^1}$ under “segment” metric

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Is every smooth function Lebesgue-Lebesgue measurable?

13

Tetrahedron splitting/subdivision

12

Surfaces all of whose geodesics are both closed and simple

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Is every nonnegatively curved plane conformal to the complex plane?

12

The Symmetry of a Soccer Ball

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Rolle’s theorem in n dimensions

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Helix translates as geodesics

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Questions on smoothness of Riemann metrics

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Why is the half-torus rigid?

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Convex hull on a Riemannian manifold

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Gromov-Hausdorff distance between p-adic integers.