Reduction of the codimension of totally real submanifolds of a complex space form
type: Item
instance of: scholarly article
title: Reduction of the codimension of totally real submanifolds of a complex space form
zbMATH Open document ID: 0642.53054
author: U-Hang Ki
author: Hisao Nakagawa
published in: Tsukuba Journal of Mathematics
publication date: 1987-01-01T00:00:00Z
review text: The authors prove the following result. Let \(\bar M\) be a complex space form and M an n-dimensional totally real submanifold of \(\bar M.\) If the induced f-structure in the normal bundle is parallel, then there exists a totally geodesic complex space form of complex dimension n of \(\bar M\) in which M is totally real. \{Reviewer's remark: The same result can be found in \textit{M. Hendrickx} and \textit{L. Verstraelen}, Soochow J. Math. 4, 55-61 (1978; Zbl 0406.53051).\}
Mathematics Subject Classification ID: 53C40
zbMATH DE Number: 4046592
zbMATH Keywords: reduction theorem
zbMATH Keywords: totally real submanifold
zbMATH Keywords: f-structure
zbMATH Keywords: totally geodesic complex space form
reviewed by: Bang-Yen Chen
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.21099/tkbjm/1496160591
OpenAlex ID: W1505580932
DOI: 10.21099/TKBJM/1496160591
description: scientific article; zbMATH DE number 4046592