Some remarks on \(G\)-actions with sections
zbMath0994.53017MaRDI QIDQ1589931
Publication date: 10 October 2002
Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)
Full work available at URL: http://www.numdam.org/item?id=RSMUP_2000__103__157_0
Weyl grouptotally geodesic submanifoldWeyl chambersprincipal orbitsset of regular points\(G\)-orbitnonpositive sectional curvaturesvariationally complete
Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Compact Lie groups of differentiable transformations (57S15) Global Riemannian geometry, including pinching (53C20) Differential geometry of symmetric spaces (53C35)
Cites Work
- Orthogonally transversal submanifolds and the generalizations of the Weyl group
- Critical point theory and submanifold geometry
- Variational completeness and \(K\)-transversal domains
- An application of the Morse theory to the topology of Lie-groups
- Applications of the Theory of Morse to Symmetric Spaces
- A General Theory of Canonical Forms
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