Asymptotic curvature bounds for conformally flat metrics on the plane | Zendy

Miodrag Mateljević | Zendy; Ivan Damir Anić | Zendy; Stephen Taylor | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Asymptotic curvature bounds for conformally flat metrics on the plane

Author(s) -

Miodrag Mateljević,

Ivan Damir Anić,

Stephen Taylor

Publication year - 2010

Publication title -

filomat

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 34

eISSN - 2406-0933

pISSN - 0354-5180

DOI - 10.2298/fil1002093m

Subject(s) - mathematics , curvature , conformal map , quadratic growth , mathematics subject classification , gaussian curvature , plane (geometry) , mathematical analysis , gauss , order (exchange) , pure mathematics , geometry , physics , quantum mechanics , finance , economics

The decay rate of the Gauss curvature of conformally ∞at 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 flnite order, it is shown that one can improve this decay rate.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research