Problemi di geometria differenziale in grande [electronic resource] : Lectures given at a Summer School of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Sestriere (Torino), Italy, July 31-August 8, 1958 /
C.I.M.E. Summer School(1958 :Sestriere, Italy)
Centro internazionale matematico estivo.
Bompiani, E.editor.
Lectures: C.B. Allendörfer: Global differential geometry of imbedded manifolds.- Seminars: P. Libermann: Pseudo-groupes infitésimaux.
Problemi di geometria differenziale in grande; Copyright Page; Contents; Global Differential Geometry of imbeddedmanifolds; Chapter I Differentiable Manifolds and Their Imbedding; Chapter II The Theorem of Gause-Bonnet; 1. Elementary Cases; 2. The G.B.Theorem for a Compact Surface; 3. The Index Theorem for a Unit Vector Field; 4. The G.-B. Theorem for a Compact Imbedded Surface; 5. The General case of The G.-B. Theorem; 6. Related Besults of Ohern; 7. Related Results of Milnor; 8. Final Remarks; Chapter III Integrals of Differential Forms; 1. First we recall some elementary netions
2. Integral Formulas on Xn3. The Theorem of de Rham; Chapter IV Cohomology with Intergal Coefficients; 2. The General Case; 3. Systematic Discussion; 4. The Theorem Using a Triangulation; Chapter V Pontrjagin Classes on Xn; 1. Tangent Classes; Chapter VI Stiefel-Whiteny Classes; 1. Introduction; 2. Basic Definitions; 3. The Universal Stiefel-Whitney Classes; 4. The Tangent Classes; Pseudo-Groupes Infinitesimaux; 1. Introduction; 2. Notion de Variete' Differentiable; 3. Espaces Fibres Differentiables a Groupe Structural de Lte; 4. Espaces Etales Faisceaux
5. Jets Infinitesimaux Vecteurs Tangents a Une Variete6. Champs de Vecteurs Formes Differentielles Operateur Derivel de Lis; 7. Pseudogroupes Infinitesimaux Faisceauz D'algebres de Lie Associes; 8. Applications Aux G-structures; Bibliographie
Originally published: C.I.M.E., Florence, 1958.
Includes bibliographical references.
Lectures: C.B. Allendörfer: Global differential geometry of imbedded manifolds.- Seminars: P. Libermann: Pseudo-groupes infitésimaux.
Differential geometry.
Differential Geometry.