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Results tagged with riemannian-geometry
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user 58975
Riemannian Geometry is a subfield of Differential Geometry, which specifically studies "Riemannian Manifolds", manifolds with "Riemannian Metrics", which means that they are equipped with continuous inner products.
8
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$C^1$ regularity of harmonic functions on Riemannian manifolds
Consider a smooth, connected and complete Riemannian manifold $M$. It is well known that harmonic functions defined on some open subset of $M$ are $C^\infty$.
I'm interested in knowing whether there …
- 660
2
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Heat kernel and convergence
As said, this holds if the manifolds have Ricci curvature uniformly bounded from below. Perhaps the quickest reference for this convergence is my paper
https://link.springer.com/article/10.1007/s0052 …
- 660