On weakly reflective submanifolds in compact isotropy irreducible Riemannian homogeneous spaces

DOI10.3836/TJM/1502179344zbMath1490.53079arXiv2003.04674OpenAlexW3198202509WikidataQ115219752 ScholiaQ115219752MaRDI QIDQ831885

Masahiro Morimoto

Publication date: 24 March 2022

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

Full work available at URL: https://arxiv.org/abs/2003.04674

zbMATH Keywords

minimal submanifoldweakly reflective submanifoldisotropy irreduciblePF submanifolds in Hilbert spaces

Mathematics Subject Classification ID

Global submanifolds (53C40)

Cites Work

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• Correction to: The geometry and structure of isotropy irreducible homogeneous spaces
• On isotropy irreducible Riemannian manifolds
• Weakly reflective submanifolds and austere submanifolds
• Calibrated geometries
• Proper Fredholm submanifolds of Hilbert space
• Critical point theory and submanifold geometry
• On a Riemannian submanifold whose slice representation has no nonzero fixed points
• Submanifold geometry in symmetric spaces
• On weakly reflective PF submanifolds in Hilbert spaces
• Principal curvatures of homogeneous hypersurfaces in a Grassmann manifold \(\widetilde{\text{Gr}}_{ 3}(\text{Im}\mathbb{O})\) by the \(G_2\)-action
• Austere and arid properties for PF submanifolds in Hilbert spaces
• The geometry and structure of isotropy irreducible homogeneous spaces

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