Height functions on quaternionic Stiefel manifolds

E. Macías–Virgós; John Oprea; Jeff Strom; Daniel Tanré

doi:10.34657/2490

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Height functions on quaternionic Stiefel manifolds

E. Macías–Virgós John Oprea Jeff Strom Daniel Tanré

Year: 2015 Journal: TIB Repositorium Vol: 32 (1)Pages: 1-16

DOI: 10.34657/2490

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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.

Keywords:

Morse code Mathematics Morse theory Pure mathematics Mathematical analysis Computer science

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Advanced Topics in Algebra

Physical Sciences → Mathematics → Algebra and Number Theory

Homotopy and Cohomology in Algebraic Topology

Physical Sciences → Mathematics → Mathematical Physics

Algebraic structures and combinatorial models

Physical Sciences → Mathematics → Geometry and Topology

Height functions on quaternionic Stiefel manifolds

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