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Results tagged with dg.differential-geometry
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user 16143
Complex, contact, Riemannian, pseudo-Riemannian and Finsler geometry, relativity, gauge theory, global analysis.
3
votes
flat metrics on the 2-sphere with conical singularities
Another example: any meromorphic quadratic differential on the Riemann sphere (with at most simple poles) gives such a metric. There the cone angles are always positive integer multiples of $\pi$ .
…
- 3,201
33
votes
Accepted
The rank of a symmetric space
First the algebraic definition. A (non-compact) symmetric space is of the form $G/K$, where $G$ is a (non-compact) semisimple Lie Group defined over $\mathbb{R}$, and $K$ is a maximal compact subgroup …
- 3,201
10
votes
High multiplicity eigenvalue implies symmetry?
One situation where people have thought hard about this issue is the multiplicity of the spectrum of the Laplacian on the modular surface. This is a notoriously difficult problem.
Conjecturally, the …
- 3,201