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Results tagged with dg.differential-geometry
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user 9809
Complex, contact, Riemannian, pseudo-Riemannian and Finsler geometry, relativity, gauge theory, global analysis.
5
votes
Averaging maps of Riemannian manifolds
The anwer to this question follows from Theorem 1.2 in the paper
Karcher, H. Riemannian center of mass and mollifier smoothing. Comm.
Pure Appl. Math. 30 (1977), no. 5, 509–541.
provided by I …
- 666
8
votes
Accepted
Cohomology of function spaces
It seems there exists such a thing: There is a spectral sequence by Anderson that computes the homology of the mapping space out of the cohomology of $M$ and the homology of $N$. Here is a link to the …
- 666
5
votes
1
answer
402
views
Averaging maps of Riemannian manifolds
Let $M$ be a compact Riemannian manifold. We know how to average functions $f\colon M\to {\mathbb R}$; the integral $\frac{\int_M f}{\int_M 1}$ returns a value in ${\mathbb R}$. If intead $f\colon M\t …
- 666