Some classes of almost Hermitian structures that can be realized on $S^6$

N. A. Daurtseva

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.

Keywords: almost Hermitian structures, $6$-sphere, structures of cohomogeneity one.

MSC: Primary 53C15; Secondary 32Q60

Received: 06.09.2022 and 20.12.2022

DOI: 10.4213/sm9830

 English version: Sbornik: Mathematics, 2023, 214:5, 732–743

Bibliographic databases:

• 
• 
• 
• 
•