Remarks on regular quantization and holomorphic isometric immersions on Hartogs triangles

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

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Bibliographic Details
Published in:Archiv der Mathematik 2022, Vol.118 (6), p.605-614
Main Authors: Hou, Zelin, Bi, Enchao
Format: Article
Language:English
Subjects:
Manifolds (mathematics)
Mathematics
Mathematics and Statistics
Measurement
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Summary:In this paper, we discuss a regular quantization process on generalized Hartogs triangles by using Calabi’s diastasis function and Rawnsley’s ε -function. On the other hand, we also exhibit the existence of a class of Kähler-Einstein submanifolds of infinite dimensional complex projective spaces C P ∞ .
ISSN:0003-889X
1420-8938
DOI:10.1007/s00013-022-01718-0