Hight functions on quaternionic Stiefel manifolds

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Date
2015-07-29MFO Scientific Program
Research in Pairs 2013Series
Oberwolfach Preprints;2015,10Author
Macías-Virgós, Enrique
Strom, Jeffrey
Tanré, Daniel
Oprea, John
Metadata
Show full item recordOWP-2015-10
Abstract
In this note, we study height functions on quaternionic Stiefel manifolds and prove that all these height functions are Morse-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.