Complete minimal hypersurfaces in quaternionic hyperbolic space
type: Item
instance of: scholarly article
title: Complete minimal hypersurfaces in quaternionic hyperbolic space
zbMATH Open document ID: 1302.53068
author: Jaime Leonardo Orjuela Chamorro
published in: Geometriae Dedicata
publication date: 2014-10-17T00:00:00Z
full work available at URL: https://arxiv.org/abs/1211.3385
review text: It is a natural procedure to try to transfer results obtained in complex hyperbolic geometry to quaternionic hyperbolic geometry. This paper is devoted to the construction of new examples of complete minimal hypersurfaces in \(\mathbb{H}^n_Q\) using the method of equivariant differential geometry introduced by Hsiang and Lawson. It is important to remark that the techniques of this paper can be extended to investigate minimal hypersurfaces in the octonionic hyperbolic plane \(\mathbb{H}^2_O\).
reviewed by: Constantin Călin
Mathematics Subject Classification ID: 53C42
Mathematics Subject Classification ID: 53C35
zbMATH DE Number: 6357998
zbMATH Keywords: minimal hypersurfaces
zbMATH Keywords: polar actions
zbMATH Keywords: quaternionic hyperbolic space
zbMATH Keywords: bisectors
zbMATH Keywords: fans
MaRDI profile type: Publication
OpenAlex ID: W3142141201
arXiv ID: 1211.3385
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DOI: 10.1007/S10711-013-9907-5
description: scientific article; zbMATH DE number 6357998