Asymptotic curvature bounds for conformally flat metrics on the plane

Miodrag Mateljević; Ivan Anić; Stephen Taylor

doi:10.2298/FIL1002093M

Asymptotic curvature bounds for conformally flat metrics on the plane

Miodrag Mateljević, Ivan Anić, Stephen Taylor

Research output: Contribution to journal › Article › peer-review

Abstract

The decay rate of the Gauss curvature of conformally flat planer surfaces of strictly negative curvature is studied. It is show that generically there is an asymptotic sequence that decays faster than quadratically in the distance from the origin. In the case that the conformal factor is of finite order, it is shown that one can improve this decay rate.

Original language	English (US)
Pages (from-to)	93-100
Number of pages	8
Journal	Filomat
Volume	24
Issue number	2
DOIs	https://doi.org/10.2298/FIL1002093M
State	Published - Jun 2010
Externally published	Yes

All Science Journal Classification (ASJC) codes

General Mathematics

Keywords

Conformally Flat Surfaces
Gauss Curvature Decay
Liouville Equa- tion

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10.2298/FIL1002093M

Cite this

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abstract = "The decay rate of the Gauss curvature of conformally flat planer surfaces of strictly negative curvature is studied. It is show that generically there is an asymptotic sequence that decays faster than quadratically in the distance from the origin. In the case that the conformal factor is of finite order, it is shown that one can improve this decay rate.",

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AU - Taylor, Stephen

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N2 - The decay rate of the Gauss curvature of conformally flat planer surfaces of strictly negative curvature is studied. It is show that generically there is an asymptotic sequence that decays faster than quadratically in the distance from the origin. In the case that the conformal factor is of finite order, it is shown that one can improve this decay rate.

AB - The decay rate of the Gauss curvature of conformally flat planer surfaces of strictly negative curvature is studied. It is show that generically there is an asymptotic sequence that decays faster than quadratically in the distance from the origin. In the case that the conformal factor is of finite order, it is shown that one can improve this decay rate.

KW - Conformally Flat Surfaces

KW - Gauss Curvature Decay

KW - Liouville Equa- tion

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Asymptotic curvature bounds for conformally flat metrics on the plane

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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