On slant immersions into Kähler manifolds
type: Item
instance of: scholarly article
title: On slant immersions into Kähler manifolds
zbMATH Open document ID: 0799.53066
author: Sadahiro Maeda
author: Yoshihiro Ohnita
author: Seiichi Udagawa
published in: Kodai Mathematical Journal
publication date: 1994-04-10T00:00:00Z
review text: The main purpose of this article is to study slant immersions into a complex-space-form (in the sense of [the reviewer, Geometry of slant submanifolds, Katholieke Universiteit Leuven (1990; Zbl 0716.53006)]. First, the authors prove that every \(G\)-equivariant isometric immersion of a Kähler \(C\)-space \(M=G/K\) with \(b_ 2(M)=1\) into a complex projective space is a slant immersion. Then they show that every circular geodesic slant immersion of a Riemannian manifold with constant scalar curvature into a complex-space-form has parallel second fundamental form. Finally, they obtain three geometric characterizations of circular geodesic slant surfaces in complex-space-forms.
reviewed by: Bang-Yen Chen
Mathematics Subject Classification ID: 53C40
zbMATH DE Number: 515592
zbMATH Keywords: circular geodesic immersion
zbMATH Keywords: slant immersions
zbMATH Keywords: equivariant isometric immersion
zbMATH Keywords: complex projective space
MaRDI profile type: Publication
OpenAlex ID: W2046005416
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DOI: 10.2996/KMJ/1138039784
description: scientific article; zbMATH DE number 515592