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mathrapper commented 1 year ago

4:24 Add to

One Geometry

Perelman's proof of the Poincare conjecture to the tune of Snoop Dogg and Pharrell William's "Drop it Like it's Hot"

Lyrics: http://cs.fairfield.ed...

37,875 views

mathrapper said:

@Headkiller I mean that if every loop contracts it is the simplest manifold, which is the sphere. Informally, because it is the simplest shape, I say it has no topology.

• mathrapper commented 1 year ago

  4:24 Add to

  One Geometry

  Perelman's proof of the Poincare conjecture to the tune of Snoop Dogg and Pharrell William's "Drop it Like it's Hot"

  Lyrics: http://cs.fairfield.ed...

  37,875 views

  mathrapper said:

  @boobah1067 continuing! Because you can reconstruct the original manifold. Entropy just allows you to control that. It increases (or decreases?) during the blowing up and the replacing, and I believe you can show if it is big (small?) enough these singularities cannot arise, so you get finite...

• mathrapper commented 1 year ago

  4:24 Add to

  One Geometry

  Perelman's proof of the Poincare conjecture to the tune of Snoop Dogg and Pharrell William's "Drop it Like it's Hot"

  Lyrics: http://cs.fairfield.ed...

  37,875 views

  mathrapper said:

  @boobah1067 Here is my best shot at an answer, with the caveat that you are going beyond my comfort zone. The Ricci curvature equation can be thought very loosely as changing the geometry of the shape slowly the way blowing up a balloon changes its geometry. Very, very loosely, the appearance o...

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