Fredholm vector fields and a transversality theorem

DOI10.1016/0022-1236(76)90062-8zbMath0341.58005OpenAlexW1972383983MaRDI QIDQ1231701

Anthony J. Tromba

Publication date: 1976

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(76)90062-8

Mathematics Subject Classification ID

Fredholm structures on infinite-dimensional manifolds (58B15) Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20) Differentiation theory (Gateaux, Fréchet, etc.) on manifolds (58C20) Vector distributions (subbundles of the tangent bundles) (58A30)

Related Items (8)

Global Hopf bifurcation of two-parameter flows ⋮ Unnamed Item ⋮ A global genericity theorem for bifurcations in variational problems ⋮ Morse theory and the calculus of variations ⋮ On the number of solutions to Plateau’s problem ⋮ Extreme curves bound embedded minimal surfaces of the type of the disc ⋮ The Euler characteristic of vector fields on Banach manifolds and a globalization of Leray-Schauder degree ⋮ Qualitative methods in bifurcation theory

Cites Work

• Unnamed Item
• The Euler characteristic of vector fields on Banach manifolds and a globalization of Leray-Schauder degree
• Lusternik-Schnirelman theory on Banach manifolds
• Geometry of manifolds of maps
• \(\Lambda\)-manifolds
• Almost-Riemannian Structures on Banach Manifolds: The Morse Lemma and the Darboux Theorem
• An Infinite Dimensional Version of Sard's Theorem
• Integrals with nondegenerate critical points

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