Abstract

Let S be the 2-sphere and V⊂S be a finite set of at least three points. We show that for each function κ:V→(0,2π) satisfying elementary necessary conditions, in each discrete conformal class of spherical cone-metrics there exists a unique metric realizing κ as its discrete curvature. This can be seen as a discrete version of a result of Luo and Tian.

Full Text
Paper version not known

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.