A proof of the uniformization theorem for domains in the Riemann sphere is given via the Kobayashi metric without relying on the elliptic modular function.
Riemannian geometry , volume 149 of Translations of Mathematical Monographs
2 Pith papers cite this work. Polarity classification is still indexing.
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Extends continuity of injectivity radius and Hausdorff stability of cut locus from points to submanifolds under C^2 perturbations of the metric and Whitney C^2 perturbations of the submanifold.
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Stability of the Injectivity Radius and the Cut Locus of Submanifolds under Perturbations
Extends continuity of injectivity radius and Hausdorff stability of cut locus from points to submanifolds under C^2 perturbations of the metric and Whitney C^2 perturbations of the submanifold.