Holomorphic Connections and Problems of Lifts

Considering the bundle of 2-jets as a realization of the holomorphic manifold over 3-dimensional nilpotent algebra, the authors introduce a new class of lifts of connections in the bundle of 2-jets which is a generalization of the complete lifts.

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Bibliographic Details
Published inChinese annals of mathematics. Serie B Vol. 45; no. 5; pp. 677 - 684
Main Authors Salimov, Arif, Gurbanova, Narmina
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.09.2024
Subjects
Applications of Mathematics
Mathematics
Mathematics and Statistics
Bundle of 2-jets
Holomorphic functions
53C15
Deformed lift
Pure connection
53C07
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Summary:Considering the bundle of 2-jets as a realization of the holomorphic manifold over 3-dimensional nilpotent algebra, the authors introduce a new class of lifts of connections in the bundle of 2-jets which is a generalization of the complete lifts.
ISSN:0252-9599
1860-6261
DOI:10.1007/s11401-024-0033-5