Oscillator and pendulum equation on pseudo-Riemannian spaces

DOI10.2748/TMJ/1178225301zbMath0883.53051OpenAlexW1982853764WikidataQ115227263 ScholiaQ115227263MaRDI QIDQ1362575

Wolfgang Kuehnel, Hans-Bert Rademacher

Publication date: 23 March 1998

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178225301

zbMATH Keywords

Hessianvector fieldspseudo-Riemannian manifoldspendulum equationlocally gradient fieldsosicllator equation

Mathematics Subject Classification ID

Applications of differential geometry to physics (53Z05) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60)

Cites Work

• Einstein spaces admitting a one-parameter group of conformal transformations
• On a differential equation characterizing a Riemannian structure of a manifold
• Selfsimilar Lorentzian manifolds
• On a theorem of Alekseevskii concerning conformal transformations
• Transformations conformes des variétés pseudo-riemanniennes
• Conformal vector fields on pseudo-Riemannian spaces
• Elliptic functions and applications
• Essential conformal fields in pseudo-Riemannian geometry
• The conjectures on conformal transformations of Riemannian manifolds
• Certain conditions for a Riemannian manifold to be isometric with a sphere
• The structure of Einstein spaces admitting conformal motions
• Concircular transformations of Riemannian manifolds
• Conformal Diffeomorphisms Preserving the Ricci Tensor
• Complete Riemannian Manifolds and Some Vector Fields
• GROUPS OF CONFORMAL TRANSFORMATIONS OF RIEMANNIAN SPACES
• Conformal Geodesics
• Concircular geometry I. Concircular transformations
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