Some isospectral problems

DOI10.2996/KMJ/1138036479zbMath0488.53034OpenAlexW2060483025MaRDI QIDQ1166137

Yhuji Shibuya

Publication date: 1982

Published in: Kodai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2996/kmj/1138036479

zbMATH Keywords

eigenvaluesLaplace operatortotally geodesiccomplex space formisospectralsecond variation operatoranti-invariant minimal submanifoldsC-Einstein manifoldconstant Q-sectional curvatureD-symmetric spacequaternion space formSasakian submanifolds

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Global Riemannian geometry, including pinching (53C20)

Related Items (1)

Spectral geometry of the Jacobi operator of totally real submanifolds in \(Q\mathbb{P}^n\)

Cites Work

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• The spectrum of Sasakian manifolds
• Quaternion Kählerian manifolds
• Invariant submanifolds in Sasakian manifolds
• Sasakian \(\varphi\)-symmetric spaces
• Spectral invariants of the second variation operator
• On eigen-values of Laplacian and curvature of Riemannian manifold
• Some remarks on space with a certain contact structure

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