Normal families and the semicontinuity of isometry and automorphism groups
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Publication:1069520
DOI10.1007/BF01214745zbMath0584.58014OpenAlexW2012348280MaRDI QIDQ1069520
Robert E. Greene, Steven G. Krantz
Publication date: 1985
Published in: Mathematische Zeitschrift (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/173640
Groups of diffeomorphisms and homeomorphisms as manifolds (58D05) Manifolds of metrics (especially Riemannian) (58D17)
Related Items (11)
Upper semicontinuity of automorphism groups ⋮ Semicontinuity of automorphism groups: the converse direction ⋮ Semicontinuity of the automorphism groups of domains with rough boundary ⋮ On the upper-semicontinuity of automorphism groups of model domains in almost complex manifolds ⋮ Applications of Bergman representative coordinates ⋮ On the boundary rigidity phenomenon for automorphisms of domains in ℂⁿ ⋮ Stably-interior points and the semicontinuity of the automorphism group ⋮ Automorphism group actions in complex analysis ⋮ On the automorphism group of strongly pseudoconvex domains in almost complex manifolds ⋮ Upper semicontinuity of isotropy and automorphism groups ⋮ Semicontinuity of compact group actions on compact differentiable manifolds
Cites Work
- The automorphism groups of strongly pseudoconvex domains
- Sur une caractérisation de la boule parmi les domaines de \(\mathbb{C}^n\) par son groupe d'automorphismes
- Deformation of complex structures, estimates for the (partial d) equation, and stability of the Bergman kernel
- The Bergman kernel and biholomorphic mappings of pseudoconvex domains
- The group of isometries of a Riemannian manifold
- Differential Topology
- Intrinsic measures on complex manifolds and holomorphic mappings
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