Subtwistor Structures and Subtwistor Bundle
- Authors: Kornev E.S.1
-
Affiliations:
- Kemerovo State University
- Issue: Vol 60, No 6 (2019)
- Pages: 1022-1031
- Section: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/172740
- DOI: https://doi.org/10.1134/S0037446619060107
- ID: 172740
Cite item
Abstract
We introduce the notions of subtwistor structure and subtwistor bundle. Under consideration is some particular case of subtwistor structures, sub-Kähler structures. The subtwistor bundle for the four-dimensional sphere is described. We also provide some examples of the manifolds that admit or do not admit any subtwistor structure. For a real manifold of arbitrary dimension, we give conditions for the existence of a sub-Käahler structure, which implies the existence of sub-Käahler submanifolds.
About the authors
E. S. Kornev
Kemerovo State University
Author for correspondence.
Email: q148@mail.ru
Russian Federation, Kemerovo
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