1,785 reputation
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bio website www-ian.math.uni-magdeburg.de/…
location Magdeburg, Germany
age 31
visits member for 4 years
seen Dec 3 at 0:15

I am an Australian mathematician.


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comment Soft question: How does basic differential geometry “fit together”?
You're not looking for a book recommendation, you just want a high-level map? The problem is that there is no way to fit even just the names and connections between all topics in diff geom on one page. You're going to have to be more specific.
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revised How solve this equation
Tag incorrect
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suggested approved edit on How solve this equation
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awarded  Popular Question
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comment How to solve this quasilinear parabolic evolution equation (result of curve shortening flow)?
It is just a one dimensional quasilinear parabolic PDE... this is covered by standard theory. Can you explain more which texts you looked at? Did you check Lieberman for example?
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comment Geometric Interpretation: Parallel forms are harmonic
See the answer for the first question. For the second: It isn't an arbitrary solution of the Laplacian, it's the Laplacian acting on the volume form.
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comment Geometric Interpretation: Parallel forms are harmonic
The fact that the volume form is parallel implies that infinitesimal deformations of the volume form act exactly linearly. Since the Levi-Civita connection controls also the cotangent deformations, this implies that the volume form expands linearly in every possible direction. This is stronger than $\Delta \mu = 0$!
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comment Periodic polynomial?
This is wrong -- consider $\prod (1/n)$.
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