Morse functions of \(G_2/\operatorname{SO(4)}\)

DOI10.3836/tjm/1502179356OpenAlexW4213361571MaRDI QIDQ2165827

Yuuki Sasaki

Publication date: 23 August 2022

Published in: Tokyo Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3836/tjm/1502179356

zbMATH Keywords

symmetric spaceMorse functionantipodal set

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Differential geometry of symmetric spaces (53C35) Exceptional groups (20G41)

Cites Work

• The involutions of the compact symmetric spaces
• Totally geodesic submanifolds of symmetric spaces. II
• Maximal antipodal sets of compact classical symmetric spaces and their cardinalities. I
• Characteristic Classes and Homogeneous Spaces, I
• A Riemannian Geometric Invariant and its Applications to a Problem of Borel and Serre
• Two-number of symmetric R-spaces
• Sur L'Homologie et la Cohomologie des Groupes de Lie Compacts Connexes
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