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Results tagged with smooth-manifolds
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user 119171
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].
-2
votes
1
answer
112
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Bochner theorem for complete manifolds
Let $(M,g)$ be a complete oriented Riemannian manifold. If $Ric ≥ 0$ on $M$, then any harmonic 1-form $\alpha$ is parallel i.e $x\to |\alpha|^2_{g,x}$ constant?
- 17
2
votes
1
answer
126
views
Stokes theorem outside of divisor
Let $X$ be a compact Kähler manifold and $D$ be a snc divisor on it. Then on $X\setminus D$ Stokes theorem holds true
$\int_{X\setminus D}\Delta\alpha=0\; \; \; ?$
In this case $X\setminus D$ is non …
- 17