On totally real submanifolds of a complex projective space
type: Item
instance of: scholarly article
title: On totally real submanifolds of a complex projective space
zbMATH Open document ID: 1041.53036
author: Yoshio Matsuyama
published in: Nihonkai Mathematical Journal
publication date: 2002-01-01T00:00:00Z
review text: Let \(\mathbb{C} P^n(c)\) be an \(n\)-dimensional complex projective space with the Fubini-Study metric of constant holomorphic sectional curvature \(c\) \((> 0)\) and let \(M\) be an \(n\)-dimensional compact totally real minimal submanifold in \(\mathbb{C} P^n(c)\). The author gives a complete characterization of such \(M\) with scalar curvature \(\rho\) satisfying \(\rho \geq \frac{3n(n-2)}{16}\, c\).
reviewed by: Josef Janyška
Mathematics Subject Classification ID: 53C40
Mathematics Subject Classification ID: 53C30
zbMATH DE Number: 1932201
zbMATH Keywords: complex projective space
zbMATH Keywords: totally real submanifold
zbMATH Keywords: minimal submanifold
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1932201