Hermitian geometry of six-dimensional symmetric submanifolds of Cayley algebra
type: Item
instance of: scholarly article
title: Hermitian geometry of six-dimensional symmetric submanifolds of Cayley algebra
zbMATH Open document ID: 0888.53040
author: V. F. Kirichenko
published in: Moscow University Mathematics Bulletin
publication date: 1998-05-10T00:00:00Z
review text: The author studies the 6-dimensional submanifolds \(M^6\) of the Cayley algebra \(\mathbb{O}\) on which an almost Hermitian structure is canonically induced. He calls \(M^6\) a Hermitian submanifold if it admits a non-Kählerian but integrable (i.e., Hermitian) structure. The class of Ricci-type submanifolds is introduced which includes the class of submanifolds on which a Kählerian structure is induced. Generalizing the results in [\textit{M. B. Banaru} and \textit{V. F. Kirichenko}, Russ. Math. Surv. 49, 223-224 (1994; Zbl 0855.53027)], he gives a complete classification of the Ricci-type Hermitian locally symmetric submanifolds \(M^6 \subset {\mathbb{O}}\).
reviewed by: Anna Fino
Mathematics Subject Classification ID: 53C40
Mathematics Subject Classification ID: 53C55
zbMATH DE Number: 1028420
zbMATH Keywords: Cayley algebra
zbMATH Keywords: Hermitian structure
zbMATH Keywords: symmetric submanifolds
zbMATH Keywords: classification
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1028420