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Type: Text × Subject: quaternionic Stiefel manifold ×

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    Height functions on quaternionic Stiefel manifolds
    (Oberwolfach : Mathematisches Forschungsinstitut Oberwolfach, 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.