Morse Theory and the Lusternik–Schnirelmann Category of Quaternionic Grassmannians

DOI10.1017/S0013091516000195zbMath1420.55009OpenAlexW2537979549MaRDI QIDQ2989995

Enrique Macias-Virgós, Daniel Tanré, María José Pereira-Sáez

Publication date: 9 June 2017

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0013091516000195

zbMATH Keywords

critical valueGrassmann manifoldCayley transformMorse-Bott theoryheight functionLusternik-Schnirelmann category

Mathematics Subject Classification ID

Lyusternik-Shnirel'man category of a space, topological complexity à la Farber, topological robotics (topological aspects) (55M30) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Critical points and critical submanifolds in differential topology (57R70)

Related Items (3)

Morse-Bott functions on orthogonal groups ⋮ Relative singular value decomposition and applications to LS-category ⋮ Homotopic distance and generalized motion planning

Cites Work

• Trace map, Cayley transform and LS category of Lie groups
• On the Lusternik-Schnirelmann category of Stiefel manifolds
• Lusternik-Schnirelmann theory for fixed points of maps
• Height functions on compact symmetric spaces
• Secondary cohomology operations induced by the diagonal mapping
• An upper bound for the Lusternik–Schnirelmann category of the symplectic group
• The Lusternik-Schnirelmann category of 𝑆𝑝(3)
• A topological approach to left eigenvalues of quaternionic matrices

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