Lie derivatives and deviation equations in Riemannian spaces

DOI10.1007/BF00762128zbMath0482.53014WikidataQ115394890 ScholiaQ115394890MaRDI QIDQ1162710

S. Manoff

Publication date: 1979

Published in: General Relativity and Gravitation (Search for Journal in Brave)

zbMATH Keywords

Lie derivativedeviation equations

Mathematics Subject Classification ID

Applications of local differential geometry to the sciences (53B50) Equations of motion in general relativity and gravitational theory (83C10) Local Riemannian geometry (53B20)

Related Items (7)

Bilocal geodesic operators in static spherically-symmetric spacetimes ⋮ Equation of geodesic deviation and Killing tensors ⋮ DEVIATION EQUATIONS OF SYNGE AND SCHILD OVER $({\bar L}_n,g)$-SPACES ⋮ Determination of the metric from the curvature ⋮ A coordinate-free derivation of a generalized geodesic deviation equation ⋮ Deviation operator and deviation equations over spaces with affine connections and metrics ⋮ Projective differential geometry and geodesic conservation laws in general relativity. I: Projective actions

Cites Work

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• Harmonic oscillations of elastic continua and detection of gravitational waves
• On Jacobi fields
• Rigid Frames in Relativity

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