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- W2977773437 abstract "In this paper, we study the regular quantizations of Kähler manifolds by using the first two coefficients of Bergman function expansions. Firstly, we obtain sufficient and necessary conditions for certain Hermitian holomorphic vector bundles and their ball subbundles to be regular quantizations. Secondly, we obtain that some projective bundles over the Fano manifolds M admit regular quantizations if and only if M are biholomorphically isomorphism to the complex projective spaces. Finally, we obtain the balanced metrics on certain Hermitian holomorphic vector bundles and their ball subbundles over the Riemann sphere." @default.
- W2977773437 created "2019-10-10" @default.
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- W2977773437 date "2019-10-04" @default.
- W2977773437 modified "2023-10-01" @default.
- W2977773437 title "The regular quantizations of certain holomorphic bundles" @default.
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- W2977773437 doi "https://doi.org/10.1007/s10455-019-09690-9" @default.
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