Real-analytic geodesics in the Mabuchi space of K\'ahler metrics and quantization
| Autor: | Deleporte, Alix, Zelditch, Steve |
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| Rok vydání: | 2022 |
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| Druh dokumentu: | Working Paper |
| Popis: | We prove the convergence of quantized Bergman geodesics to the Mabuchi geodesics for the initial value problem, in the case of real-analytic initial data and in short time. This partially solves a conjecture of Y. Rubinstein and the last author. We also argue against the existence of a solution to the boundary value problem, generically in real-analytic regularity. |
| Databáze: | arXiv |
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