Abstract
Considering a projectively invariant metric on a strongly convex bounded domain, we study the asymptotic expansion of the scalar curvature with respect to the distance function, and use the Fubini–Pick invariant to describe the second term in the expansion. In particular for the two-dimensional convex domain, we also show that the third term in the expansion is zero.
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Supported by the NSF (11301231) of China, and the NSF (20171ACB21023) of Jiangxi Province of China.
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Wu, Y. The scalar curvature of a projectively invariant metric on a convex domain. J. Geom. 109, 1 (2018). https://doi.org/10.1007/s00022-018-0416-4
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DOI: https://doi.org/10.1007/s00022-018-0416-4