Abstract
In this article, we investigate the balanced condition and the existence of an Englis expansion for the Taub-NUT metrics on \({\mathbb{C}^2}\) . Our first result shows that a Taub-NUT metric on \({\mathbb{C}^2}\) is never balanced unless it is the flat metric. The second one shows that an Englis expansion of the Rawnsley’s function associated to a Taub-NUT metric always exists, while the coefficient a3 of the expansion vanishes if and only if the Taub-NUT metric is indeed the flat one.
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 callSimilar Papers
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.
