Holomorphic Connections and Problems of Lifts

Arif Salimov , Narmina Gurbanova

Chinese Annals of Mathematics, Series B ›› 2024, Vol. 45 ›› Issue (5) : 677 -684.

PDF
Chinese Annals of Mathematics, Series B ›› 2024, Vol. 45 ›› Issue (5) :677 -684. DOI: 10.1007/s11401-024-0033-5
Article
research-article
Holomorphic Connections and Problems of Lifts
Author information +
History +
PDF

Abstract

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.

Keywords

Holomorphic functions / Bundle of 2-jets / Deformed lift / Pure connection / 53C07 / 53C15

Cite this article

Download citation ▾
Arif Salimov, Narmina Gurbanova. Holomorphic Connections and Problems of Lifts. Chinese Annals of Mathematics, Series B, 2024, 45(5): 677-684 DOI:10.1007/s11401-024-0033-5

登录浏览全文

4963

注册一个新账户 忘记密码

References

[1]

Aslanci S. Deformed intermadiate and complete lifts of 1-forms to the bundle of 2-jets. Filomat. 2023, 37(4): 1123-1131

[2]

Aslanci S, Sultanova T. Deformed lifts in the bundle of 2-jets. Tbilisi Math. J.. 2021, 14(3): 155-162

[3]

Salimov A. Applications of Holomorphic Functions in Geometry. 2023, Singapore, Springer-Verlag, Birkhäuser

[4]

Salimov A, Iscan M, Akbulut K. Some remarks concerning hyperholomorphic B-manifolds. Chin. Ann. Math. Ser. B.. 2008, 29(6): 631-640

[5]

Sultanova T, Salimov A. On holomorphic metrics of 2-jet bundles. Mediterr. J. Math.. 2021, 19(29): 12 pp

[6]

Vishnevskii VV, Shirokov AP, Shurygin VV. Spaces over Algebras. 1985, Kazan, Kazanskii Gosudarstvennyi Universitet

[7]

Yano K, Ishihara S. Tangent and Cotangent Bundles. 1973, New York, Marcel Dekker Inc.

PDF

2

Accesses

0

Citation

Detail

Sections
Recommended

/