Abstract
Let 5 be a Hirzebruch surface, n > 1 . Using the family of ex- tremal metrics on these surfaces constructed by Calabi (1), we study a closely related scale-invariant variational problem, and show that only Si admits an extremal Kahler metric which is critical for this new functional. Applying a result of Derdzinski (3), we prove that this metric cannot be conformally equiv- alent to an Einstein metric on SiWhen n = 2, we show there is a critical orbifold metric on the space obtained from $2 by blowing down the negative section.
Sign-in/Register to access full text options 
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 callDisclaimer: 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.
