Affiliation:
1. Novosibirsk State University, Novosibirsk, Russia
Abstract
Structures of cohomogeneity one on $S^6$ are under investigation. Examples of semi-Kähler and quasi-Kähler structures are constructed. Questions concerning the existence of almost Hermitian structures of cohomogeneity one on a round sphere are investigated.
Bibliography: 14 titles.
Funder
Russian Science Foundation
Publisher
Steklov Mathematical Institute
Subject
Algebra and Number Theory
Reference14 articles.
1. What are the best almost-complex structures on the 6-sphere?
2. Nearly Kähler and nearly parallel $G_2$-structures on spheres;T. Friedrich;Arch. Math. (Brno),2006
3. Orthogonal Complex Structures on S 6
4. The canonical bundle of a Hermitian manifold;G. Bor and L. Hernández-Lamoneda;Bol. Soc. Mat. Mexicana (3),1999
5. New $\mathrm{G}_2$-holonomy cones and exotic nearly Kähler structures on $S^6$ and $S^3 \times S^3$