Geometry and Topology: Proceedings of the School Held at the Instituto de Matematica Pura E Aplicada Cnpq, Rio de Janeiro, July 1976

ISBN-13: 9783540083450 / Angielski / Miękka / 1977 / 868 str.

Jacob Palis; Manfredo Docarmo

Opis

III. Latin American School of Mathematics

Spis treści

Evaluation of some Maunder cohomology operations.- Construction geometrique de certaines series discretes.- The point spectrum of the adjoint of an automorphism of a vector bundle.- Whitney duality and singularities of projections.- Orbit preserving diffeomorphisms and the stability of Lie group actions and singular foliations.- On minimal immersions with parallel normal curvature tensor.- Circle bundles.- A topology for the space of foliations.- Stability of compact foliations.- Secondary operations in K-theory and the generalized vector field problem.- On holomorphic solutions of certain kind of pfaffian systems with singularities.- Scattering problems in differential geometry.- The connected components of Morse-Smale vector fields on two manifolds.- Feuilletages En Cylindres.- Mesure de Lebesgue et Nombre de Rotation.- The Godbillon-Vey invariant of foliations by planes of T3.- On the construction of the trace in serre duality.- Localization theories for groups and homotopy types.- On hyperbolic attractors of codimension one.- On Liénard's equation.- On the Weierstrass preparation theorem.- Reduction of semilinear parabolic equations to finite dimensional C1 flows.- Axiom a for endomorphisms.- Characterizations of AS diffeomorphisms.- Structural stability of integrable differential forms.- Accessibility of an optimum.- The scattering problem for some particle systems on the line.- Proof of a generalized from of a fixed point theorem due to G. D. Birkhoff.- Some developments on stability and bifurcations of dynamical systems.- Convexity and tightness of manifolds with boundary.- Existence of brake orbits in Finsler mechanical systems.- On the complex projective bundle construction.- Symmetries, conservation laws and variational principles.- Classification of generic quadratic vector fields with no limit cycles.- The classifying ring of SL(2, C).- On the finite solvability of Plateau's problem.- The set of curves of uniqueness for Plateau's problem has a dense interior.- Geometric properties of generic differentiable manifolds.- A catastrophe model for the stability of ships.- Note on smoothing symplectic and volume preserving diffeomorphisms.- A simple proof of a generalization of a theorem by C. L. Siegel.