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Authors
Affiliations
1 Institute of Mathematics, Department of Geometry and Topology, University of
Santiago de Compostela, 15782, ES
2 Department of Mathematics, Cleveland State University, Cleveland OH, 44115, US
3 Department of Mathematics, Western Michigan University, Kalamazoo, MI, 49008-5200, US
4 4Departement de Mathématiques, Universite de Lille 1, 59655 Villeneuve d’Ascq Cedex, FR
Source
Journal of the Ramanujan Mathematical Society, Vol 32, No 1 (2017), Pagination: 1-16
Abstract
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.