Ricci tensor of \(C\)-totally real submanifolds in Sasakian space forms
type: Item
instance of: scholarly article
title: Ricci tensor of \(C\)-totally real submanifolds in Sasakian space forms
zbMATH Open document ID: 1041.53035
author: Koji Matsumoto
author: Ion Mihai
published in: Nihonkai Mathematical Journal
publication date: 2002-01-01T00:00:00Z
review text: In the reviewed paper the authors consider \(C\)-totally real submanifolds in a Sasakian space form of constant \(\phi\)-sectional curvature. They obtain a sharp estimate of the Ricci tensor in terms of the squared mean curvature. Moreover, they shows that if in the proved inequality the equality holds then the considered submanifold is minimal.
reviewed by: Marian Hotloś
Mathematics Subject Classification ID: 53C40
Mathematics Subject Classification ID: 53C25
zbMATH DE Number: 1932205
zbMATH Keywords: Sasakian space form
zbMATH Keywords: \(C\)-totally real submanifold
zbMATH Keywords: Ricci tensor
zbMATH Keywords: mean curvature
zbMATH Keywords: Ricci curvature
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1932205