Riemannian submersion and the Laplace-Beltrami operator

DOI10.2996/kmj/1138035643zbMath0399.53011OpenAlexW2052525849WikidataQ115224663 ScholiaQ115224663MaRDI QIDQ1254745

Yosio Mutō

Publication date: 1978

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

Full work available at URL: https://doi.org/10.2996/kmj/1138035643

zbMATH Keywords

Laplace- Beltrami OperatorEigenfunction of the LaplacianP-FormsRiemannian SubmersionSasakian SubmersionsTotally Geodesic Submanifolds

Mathematics Subject Classification ID

Global submanifolds (53C40) Global Riemannian geometry, including pinching (53C20)

Related Items (5)

Eigenforms of the spin Laplacian and projectable spinors for principal bundles ⋮ The spectral geometry of Riemannian submersions for manifolds with boundary ⋮ The eigenforms of the complex Laplacian for a Hermitian submersion ⋮ The Pontrjagin class of a Sasakian submersion ⋮ Connections on differentiable fiber bundles

Cites Work

• On differentiable manifolds with contact metric structures
• Riemannian submersions with totally geodesic fibers
• Riemannian submersions and critical Riemannian metrics
• The fundamental equations of a submersion
• Le spectre d'une variété riemannienne. (The spectrum of a Riemannian manifold)
• Differential geometry of fibred spaces
• Fibred spaces with invariant Riemannian metric
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