White, J. Enrico The method of iterated tangents with applications in local Riemannian geometry. (English) Zbl 0478.58002 Monographs and Studies in Mathematics, 13. Boston - London -Melbourne: Pitman Advanced Publishing Program. XX, 252 p. £28.50 (1982). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 9 ReviewsCited in 11 Documents MSC: 58-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to global analysis 58A05 Differentiable manifolds, foundations 58A20 Jets in global analysis 53B20 Local Riemannian geometry 58A10 Differential forms in global analysis Keywords:iterated r-th tangent bundle; first order tensor calculus; r-jet of a smooth map; r-th order frame bundle; Riemannian metric; Lie bracket of r- jets; forms on jets; Levi-Civita connection; geodesic vector field; local Riemannian geometry; higher order differential geometry; higher order sector fields; sectorform fields Citations:Zbl 0462.53024 PDF BibTeX XML OpenURL