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Results tagged with kahler-manifolds
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user 4696
Questions about Kähler manifolds and Kähler metrics.
2
votes
Extension of strictly plurisubharmonic functions on a Kähler manifold
If a complex manifold has a strictly plurisubharmonic function then it cannot contain
positive dimensional compact analytic sets.This is clearly a necessary condition.So you
might start considering yo …
- 4,131
21
votes
Accepted
Does a Kähler manifold always admit a complete Kähler metric?
Grauert proved that a relatively compact domain with real analytic boundary in C^n has a complete Kahler metric iff the boundary is pseudoconvex .For any
relatively compact domain in C^n which is the …
- 4,131
4
votes
Does there exists a complete Kahler metric with positive scalar curvature on Poincare disk?
The answer to your question is no.In case of surfaces the scalar curvature and Ricci curvature coincide with Gauss curvature. If an n dimensional M had a complete Riemannian metric h with nonnegative …
- 4,131
27
votes
Accepted
Does every group arise as the fundamental group of a complete Kähler manifold?
Any Stein manifold admits a complete Kähler metric. Start with a connected real analytic manifold with the given fundamental group. A suitable tubular neighbourhood of the complexification will be St …
- 4,131