Hostname: page-component-78c5997874-ndw9j Total loading time: 0 Render date: 2024-11-08T19:28:51.152Z Has data issue: false hasContentIssue false

Morse Theory and the Lusternik–Schnirelmann Category of Quaternionic Grassmannians

Published online by Cambridge University Press:  25 October 2016

Enrique Macías-Virgós
Affiliation:
Departamento de Xeometría e Topoloxía, Universidade de Santiago de Compostela, 15782 Santiago de Compostela, Spain ([email protected])
María José Pereira-sáez
Affiliation:
Facultade de Economía e Empresa, Universidade da Coruña, 15071 A Coruña, Spain ([email protected])
Daniel Tanré
Affiliation:
Département de Mathématiques, Université de Lille 1, 59655 Villeneuve d'Ascq Cedex, France ([email protected])

Abstract

The Lusternik–Schnirelmann category of the quaternionic Grassmannian

is known to be k(n − k). In this paper we show that this result can be deduced from Morse theory.

Type
Research Article
Copyright
Copyright © Edinburgh Mathematical Society 2017 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)