Height functions on quaternionic Stiefel manifolds

被引：0

作者：

Macias-Virgos, Enrique ^{[1
]}

Oprea, John ^{[2
]}

Strom, Jeff ^{[3
]}

Tanre, Daniel ^{[4
]}

机构：

[1] Univ Santiago de Compostela, Dept Geometry & Topol, Inst Math, Santiago De Compostela 15782, Spain

[2] Cleveland State Univ, Dept Math, Cleveland, OH 44115 USA

[3] Western Michigan Univ, Dept Math, Kalamazoo, MI 49008 USA

[4] Univ Lille 1, Dept Math, F-59655 Villeneuve Dascq, France

来源：

JOURNAL OF THE RAMANUJAN MATHEMATICAL SOCIETY | 2017年 / 32卷 / 01期

关键词：

LUSTERNIK-SCHNIRELMANN CATEGORY;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this note, we study height functions on quaternionic Stiefel manifolds and prove that all these height functions areMorse-Bott. Among them, we characterize the Morse functions and give a lower bound for their number of critical values. Relations with the Lusternik-Schnirelmann category are discussed.

引用

页码：1 / 16

页数：16

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