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Height functions on quaternionic Stiefel manifolds
2015, Macías-Virgós, Enrique, Oprea, John, Strom, Jeff, Tanré, Daniel
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.