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Remarks on regular quantization and holomorphic isometric immersions on Hartogs triangles

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Abstract

In this paper, we discuss a regular quantization process on generalized Hartogs triangles by using Calabi’s diastasis function and Rawnsley’s \(\varepsilon \)-function. On the other hand, we also exhibit the existence of a class of Kähler-Einstein submanifolds of infinite dimensional complex projective spaces \({\mathbb {C}}{\mathbb {P}}^\infty \).

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Acknowledgements

We sincerely thank the referees, who read the paper very carefully and made many useful suggestions. This work was partly supported by the National Natural Science Foundation of China (No. 11901327 and No. ss11871380).

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  1. School of Mathematics and Statistics, Qingdao University, Qingdao, 266071, Shandong, People’s Republic of China

    Zelin Hou & Enchao Bi

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  1. Zelin Hou
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  2. Enchao Bi
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Correspondence to Enchao Bi.

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Hou, Z., Bi, E. Remarks on regular quantization and holomorphic isometric immersions on Hartogs triangles. Arch. Math. 118, 605–614 (2022). https://doi.org/10.1007/s00013-022-01718-0

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  • DOI: https://doi.org/10.1007/s00013-022-01718-0

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