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Results tagged with smooth-manifolds
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user 5659
Smooth manifolds and smooth functions between them. For manifolds with additional structure, see more specific tags, such as [riemannian-geometry]. For more topological aspects, see [differential-topology].
3
votes
Holonomy group of calabi yau manifold
Well, it depends on what you call a Calabi-Yau manifold (there are several possible terminologies indeed).
First of all, a compact Kähler manifold with trivial canonical class does not necessarily ha …
- 2,727
3
votes
Unique Kahler-Einstein metric $g$ with $\mathrm{Ricc}(g)=-g$ when first Chern class $C_1(M)<...
so here I guess $M$ is a compact Kähler manifold.
Thanks to Yau theorem, we know that there exists a unique Kähler metric $h$ in each Kähler cohomology class such that $\mathrm{Ric}(h)=-g$ (more gene …
- 2,727