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Results tagged with dg.differential-geometry
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user 19664
Complex, contact, Riemannian, pseudo-Riemannian and Finsler geometry, relativity, gauge theory, global analysis.
4
votes
1
answer
201
views
estimate over simply-connected Riemannian manifold with non-positive sectional curvature
Let $M$ be a Complete simply-connected $n$-dimensional Riemannian manifold with non-positive curvature,$\Omega $ is a open subset of $M$ ,If $n\geq 4$ Is anyone give a estimate of $\frac{Vol_{n}\l …
- 4,195
1
vote
0
answers
183
views
Isoperimetric inequality from Cartan-Hadamard manifold extend to Alexandrov space
We known that Croke proved a isoperimetric inequality for the four dimensional Cartan-Hadamard manifold,I want to ask extend to Alexandrov space that whether have same isoperimetric inequality ?Whethe …
- 4,306
2
votes
de Rham vs Dolbeault Cohomology
1.De Rham cohomology is a cohomology of k-forms on complex manifold。
Dolbeault Cohomology is a cohomology of smooth sections of the vector bundle of complex differential forms of degree (p,q) on compl …
- 119