A geometrical treatment of singular trajectories

DOI10.1016/0022-247X(81)90034-2zbMath0464.58014MaRDI QIDQ1154168

R. Grisell

Publication date: 1981

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

geodesicsexponential mapphase spaceChristoffel symbolsanalytic varietiesconjugate points along a maximal geodesic of finite lengthsfamilies of singular trajectoriesgeneralized Gauss-Bonnet formula on analytic and algebraic varietiesgeneralized tangent spacegeometrical field theorieslimit tangent vectors defined at a common singularityparticles represented as Riemannian singularities which are structurally stablestructurally stable dynamical systemwedge-shaped set of geodesics

Mathematics Subject Classification ID

Applications of dynamical systems (37N99) Applications of local differential geometry to the sciences (53B50) Local Riemannian geometry (53B20) Local and nonlocal bifurcation theory for dynamical systems (37G99) Methods of local Riemannian geometry (53B21)

Cites Work

• Unnamed Item
• On the Solutions of a Nerve Conduction Equation
• Local Characterization of Singularities in General Relativity
• Sur le problème de la division

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