Morse-Bott functions and the Lusternik-Schnirelmann category

DOI10.1007/S11784-010-0041-9zbMath1233.55004OpenAlexW2044801340MaRDI QIDQ644457

Hiroyuki Kadzisa, Mamoru Mimura

Publication date: 4 November 2011

Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11784-010-0041-9

zbMATH Keywords

Lusternik-Schnirelmann categoryMorse-Bott functionsANR spacecone-decompositionhomogeneus spacesNDR pairsymmetric Riemannian spaces

Mathematics Subject Classification ID

Homogeneous spaces (22F30) 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) Differential geometry of symmetric spaces (53C35)

Related Items (8)

Cartan models and cellular decompositions of symmetric Riemannian spaces ⋮ Unnamed Item ⋮ On the Lusternik-Schnirelmann category of Stiefel manifolds ⋮ Cayley transform on Stiefel manifolds ⋮ Non-linear Morse-Bott functions on quaternionic Stiefel manifolds ⋮ Relative singular value decomposition and applications to LS-category ⋮ Homotopic distance and generalized motion planning ⋮ Height functions on compact symmetric spaces

Cites Work

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• Cartan models and cellular decompositions of symmetric Riemannian spaces
• Secondary cohomology operations induced by the diagonal mapping
• Lusternik-Schnirelmann category and strong category
• Integrable Gradient Flows and Morse Theory
• On the Lusternik-Schnirelmann category of symmetric spaces of classical type

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