Semicontinuity of compact group actions on compact differentiable manifolds

DOI10.1007/BF01194103zbMath0615.57020OpenAlexW2094087514MaRDI QIDQ1820474

Young Wook Kim

Publication date: 1987

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01194103

zbMATH Keywords

isometry groupsmall deformations of the metricuppersemicontinuous

Mathematics Subject Classification ID

Compact Lie groups of differentiable transformations (57S15)

Related Items (7)

Frankel conjecture and Sasaki geometry ⋮ Short survey on the existence of slices for the space of Riemannian metrics ⋮ Semicontinuity of the automorphism groups of domains with rough boundary ⋮ Applications of Bergman representative coordinates ⋮ A new invariant metric and applications ⋮ Semicontinuity of automorphism groups in one complex variable ⋮ Metrics without isometries are generic

Cites Work

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• Group actions and curvature
• The automorphism groups of strongly pseudoconvex domains
• Normal families and the semicontinuity of isometry and automorphism groups
• The group of isometries of a Riemannian manifold
• Equivalence of nearby differentiable actions of a compact group
• A THEOREM ON PERIODIC TRANSFORMATIONS OF SPACES

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