A note on the asymptotic behavior of conformal metrics with negative curvatures near isolated singularities

The asymptotic behavior of conformal metrics with negative curvatures near an isolated singularity for at most second order derivatives was described by Kraus and Roth in one of their papers in 2008. Our work improves one estimate of theirs and shows the estimate for higher order derivatives near an...

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Bibliographic Details
Published in:arXiv.org 2013-04
Main Author: Zhang, Tanran
Format: Article
Language:English
Subjects:
Asymptotic methods
Asymptotic properties
Derivatives
Potential theory
Singularities
Online Access:Get full text
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Summary:The asymptotic behavior of conformal metrics with negative curvatures near an isolated singularity for at most second order derivatives was described by Kraus and Roth in one of their papers in 2008. Our work improves one estimate of theirs and shows the estimate for higher order derivatives near an isolated singularity by means of potential theory. We also give some limits of Minda-type for SK-metrics near the origin. Combining these limits with the Ahlfors' lemma, we provide some observations SK-metrics.
ISSN:2331-8422