F-Deformations and F-Tractions

AUTOR(ES)

Morse, Marston

RESUMO

Let Mn be a compact, connected topological manifold and F a continuous mapping of Mn into R that is “topologically nondegenerate” in the sense of (Morse, M. (1959) J. d'Analyse Math., 7, 189-208). Let c be a value of F and set Fc = {p∈Mn|F(p) ≤ c}. The topological critical points of F on Fc are finite in number and can be related to the invariants of the homology groups of Fc as in the differentiable case. F-Deformations and F-tractions make this possible. F-Tractions are here defined and replace retracting deformations used in the differentiable case. The final relations will serve as a model for similar relations between critical extremals of Weierstrass integrals on Riemannian manifolds.

Documentos Relacionados

• Bialgebra cohomology, deformations, and quantum groups.
• Deformations of instantons
• Analytical Bending and Stress Analysis of Variable Thickness FGM Auxetic Conical/Cylindrical Shells with General Tractions
• DNA Deformations near Charged Surfaces: Electron and Atomic Force Microscopy Views
• ON OBSTRUCTIONS TO DEFORMATIONS OF COMPLEX ANALYTIC SURFACES*