Journal of the Ramanujan Mathematical Society
Volume 32, Issue 1, March 2017 pp. 1–16.
Height Functions on Quaternionic Stiefel Manifolds
Authors:
Enrique Macías-Virgós, John Oprea, Jeff Strom and Daniel Tanré
Author institution:Institute of Mathematics, Department of Geometry and Topology, University of Santiago de Compostela, 15782 Spain
Summary:
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.
Contents
Full-Text PDF