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Results tagged with dg.differential-geometry
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user 175594
Complex, contact, Riemannian, pseudo-Riemannian and Finsler geometry, relativity, gauge theory, global analysis.
3
votes
1
answer
262
views
Min-max theory on non-trivial homology class
The min-max theory for minimal surface is developed for the area functional on the space of cycle $Z_n(M)$, producing an unstable minimal surface with area equal to the width. Of course, this is power …
- 113
3
votes
1
answer
286
views
Minimal surface on $R^3$ with with non Euclidean metric
I am wondering if there is an analog of the following theorem by Morgan and White:
Suppose $g_E$ is the Euclidean metric on $\mathbf R^3$. If $\gamma$ is a closed $C^{k,\alpha}$ curve in $(\mathbf R^3 …
- 113
5
votes
1
answer
281
views
Gradient of solution to heat equation under evolving metric
The following simple question came to me when I was studying the heat equation on a Riemannian manifold: Suppose $M$ is a closed Riemannian manifold and $g_t$ is a smooth family of Riemannian metrics …
- 113