Totally real minimal submanifolds in \(CP^ n\)
type: Item
instance of: scholarly article
title: Totally real minimal submanifolds in \(CP^ n\)
zbMATH Open document ID: 0805.53058
DOI: 10.1007/BF01193745
author: An-Min Li
author: Guosong Zhao
published in: Archiv der Mathematik
publication date: 1994-11-13T00:00:00Z
review text: We prove that an \(n\)-dimensional totally real minimal submanifold of constant sectional curvature in \(n\)-dimensional complex projective space is either an open part of the real projective space or an open part of the Clifford torus.
Mathematics Subject Classification ID: 53C42
zbMATH DE Number: 687075
zbMATH Keywords: totally real submanifold
zbMATH Keywords: constant sectional curvature
zbMATH Keywords: minimal submanifold
MaRDI profile type: Publication
cites work: Improper affine hyperspheres of convex type and a generalization of a theorem by K. Jörgens
cites work: Totally real submanifolds of a quaternion projective space
cites work: On Totally Real Submanifolds
cites work: Totally Real Minimal Immersions of n-Dimensional Real Space Forms into n-Dimensional Complex Space Forms
cites work: Global affine differential geometry of hypersurfaces
cites work: A Totally Real Surface in CP 2 that is not Totally Geodesic
cites work: Parallel submanifolds of complex space forms I
cites work: Second variation and stabilities of minimal Lagrangian submanifolds in Kähler manifolds
cites work: Totally Real Submanifolds with Nonnegative Sectional Curvature
cites work: Nonnegatively curved totally real submanifolds
cites work: Affine spheres with constant affine sectional curvature
description: scientific article; zbMATH DE number 687075