On the third coefficient of TYZ expansion for radial scalar flat metrics
Andrea Loi, Filippo Salis, Fabio Zuddas
TL;DR
This paper classifies radial scalar flat metrics based on the third coefficient of their TYZ expansion and characterizes Simanca's scalar flat metric as part of this classification.
Contribution
It provides a complete classification of radial scalar flat metrics with a constant third TYZ coefficient and characterizes Simanca's scalar flat metric.
Findings
Classification of radial scalar flat metrics with constant third TYZ coefficient
Characterization of Simanca's scalar flat metric
Insight into the structure of scalar flat metrics via TYZ expansion
Abstract
We classify radial scalar flat metrics with constant third coeffcient of its TYZ expansion. As a byproduct of our analysis we provide a characterization of Simanca's scalar flat metric.
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