Spectral geometry of Kähler hypersurfaces in a complex Grassmann manifold

DOI10.3836/tjm/1244208199zbMath1107.53038OpenAlexW2066296149MaRDI QIDQ819511

Yoichiro Miyata

Publication date: 29 March 2006

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

Full work available at URL: https://doi.org/10.3836/tjm/1244208199

zbMATH Keywords

first eigenvalueLaplaciancomplex Grassmann manifoldKähler hypersurface

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Global submanifolds (53C40)

Related Items (1)

A characterization of certain Einstein Kähler hypersurfaces in a complex Grassmann manifold of 2-planes

Cites Work

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• Totally geodesic submanifolds of symmetric spaces. I
• Totally geodesic submanifolds of symmetric spaces. II
• Upper bound for the first eigenvalue of algebraic submanifolds
• Homogeneous hypersurfaces in Kähler C-spaces with \(b_ 2=1\)
• Minimal immersions of Riemannian manifolds
• Holomorphic imbeddings of symmetric domains
• Semisimple subalgebras of semisimple Lie algebras
• Characteristic Classes and Homogeneous Spaces, I
• Holomorphic Imbeddings of Symmetric Domains into a Siegel Space

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