Subcomplex and sub-Kähler structures
- Authors: Kornev E.S.1
-
Affiliations:
- Kemerovo State University
- Issue: Vol 57, No 5 (2016)
- Pages: 830-840
- Section: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/170713
- DOI: https://doi.org/10.1134/S0037446616050128
- ID: 170713
Cite item
Abstract
We introduce the notion of subcomplex structure on a manifold of arbitrary real dimension and consider some important particular cases of pseudocomplex structures: pseudotwistor, affinor, and sub-Kähler structures. It is shown how subtwistor and affinor structures can give sub-Riemannian and sub-Kähler structures. We also prove that all classical structures (twistor, Kähler, and almost contact metric structures) are particular cases of subcomplex structures. The theory is based on the use of a degenerate 1-form or a 2-form with radical of arbitrary dimension.
About the authors
E. S. Kornev
Kemerovo State University
Author for correspondence.
Email: q148@mail.ru
Russian Federation, Kemerovo
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