Generalized asymptotic expansions of Tian-Yau-Zelditch (Announcements)
Chiung-ju Liu, Zhiqin Lu
TL;DR
This paper announces a generalized form of the Tian-Yau-Zelditch asymptotic expansion, extending previous results in complex geometry and geometric analysis.
Contribution
It introduces a broader generalized asymptotic expansion of Tian-Yau-Zelditch, expanding the theoretical framework in complex differential geometry.
Findings
Extended the classical asymptotic expansion to a more general setting
Provided new formulas for the coefficients in the expansion
Enhanced understanding of geometric quantization processes
Abstract
This an announcement for the generalized asymptotic expansion of Tian-Yau-Zeldtich.
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Taxonomy
TopicsGeometry and complex manifolds · Geometric Analysis and Curvature Flows · Stochastic processes and statistical mechanics