Journal of the Ramanujan Mathematical Society

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Height Functions on Quaternionic Stiefel Manifolds


Affiliations
1 Institute of Mathematics, Department of Geometry and Topology, University of Santiago de Compostela, 15782, Spain
2 Department of Mathematics, Cleveland State University, Cleveland OH, 44115, United States
3 Department of Mathematics, Western Michigan University, Kalamazoo, MI, 49008-5200, United States
4 4Departement de Mathématiques, Universite de Lille 1, 59655 Villeneuve d’Ascq Cedex, France
     

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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.
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  • Height Functions on Quaternionic Stiefel Manifolds

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Authors

Macias-Virgos Enrique
Institute of Mathematics, Department of Geometry and Topology, University of Santiago de Compostela, 15782, Spain
John Oprea
Department of Mathematics, Cleveland State University, Cleveland OH, 44115, United States
Jeff Strom
Department of Mathematics, Western Michigan University, Kalamazoo, MI, 49008-5200, United States
Daniel Tanre
4Departement de Mathématiques, Universite de Lille 1, 59655 Villeneuve d’Ascq Cedex, France

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.