Contact CR-warped product submanifolds in Sasakian manifolds
type: Item
instance of: scholarly article
title: Contact CR-warped product submanifolds in Sasakian manifolds
zbMATH Open document ID: 1066.53103
DOI: 10.1023/B:GEOM.0000006582.29685.22
author: Izumi Hasegawa
author: Ion Mihai
published in: Geometriae Dedicata
publication date: 2004-02-03T00:00:00Z
review text: Recently, B.-Y. Chen studied warped products which are CR-submanifolds in Kähler manifolds and established general sharp inequalities for CR-warped products in Kähler manifolds. In the present paper, we obtain a sharp inequality for the squared norm of the second fundamental form (an extrinsic invariant) in terms of the warping function for contact CR-warped products isometrically immersed in Sasakian manifolds. The equality case is considered. Also, the minimum codimension of a contact CR-warped product in an odd-dimensional sphere is determined.
reviewed by: Marcella Palese
Mathematics Subject Classification ID: 53C40
zbMATH DE Number: 2037046
zbMATH Keywords: contact CR-submanifold
zbMATH Keywords: Sasakian manifold
zbMATH Keywords: Sasakian space form
zbMATH Keywords: warped product
MaRDI profile type: Publication
full work available at URL: b:geom.0000006582.29685.22
OpenAlex ID: W2020384646
description: scientific article; zbMATH DE number 2037046