Affine geometry of special real submanifolds of \(\mathbb C^n\)
type: Item
instance of: scholarly article
title: Affine geometry of special real submanifolds of \(\mathbb C^n\)
zbMATH Open document ID: 1114.53016
author: Barbara Opozda
published in: Geometriae Dedicata
publication date: 2007-01-30T00:00:00Z
review text: A special Lagrangian submanifold of \(\mathbb{C}^n\) is a minimal, totally real submanifold of a complex space form. The results concern purely real immersions \(f:M \rightarrow \mathbb{C}^n\) of a differentiable manifold of real dimension \(n\) equipped with an affine connection induced from the immersion, having special properties: affine minimal, affine calibrations, submanifolds of constant phase, developable submanifolds, cones, cylinders, graphs.
Mathematics Subject Classification ID: 53B25
Mathematics Subject Classification ID: 53A15
Mathematics Subject Classification ID: 53C38
Mathematics Subject Classification ID: 53D12
zbMATH DE Number: 5119723
zbMATH Keywords: affine connection
zbMATH Keywords: affine submanifold
zbMATH Keywords: Lagrangian submanifold
reviewed by: Udo Simon
MaRDI profile type: Publication
full work available at URL: s10711-006-9096-6
OpenAlex ID: W2057790427
cites work: Differential geometry of real submanifolds in a Kaehler manifold
cites work: Calibrated geometries
cites work: On affine geometry of purely real submanifolds
DOI: 10.1007/S10711-006-9096-6
description: scientific article; zbMATH DE number 5119723