Connections, Curvature, and Cohomology V1 ：De Rham cohomology of manifolds and vector bundles ( Volume 47A )

Publication subTitle ：De Rham cohomology of manifolds and vector bundles

Publication series ：Volume 47A

Author： Greub   Werner;Halperin   Stephen;Vanstone   Ray  

Publisher： Elsevier Science‎

Publication year： 1972

E-ISBN: 9780080873602

P-ISBN(Paperback): 9780123027016

P-ISBN(Hardback):  9780123027016

Subject： O152.5 Lie group

Language： ENG

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Description

Connections, Curvature, and Cohomology V1

Chapter

Front Cover

pp.：  1 – 4

Connections, Curvature, and Cohomology

pp.：  4 – 5

Copyright Page

pp.：  5 – 8

Contents

pp.：  8 – 12

Preface

pp.：  12 – 14

Introduction

pp.：  14 – 20

Contents of Volumes II and III

pp.：  20 – 22

Chapter 0. Algebraic and Analytic Preliminaries

pp.：  22 – 36

Chapter I. Basic Concepts

pp.：  36 – 65

Chapter II. Vector Bundles

pp.：  65 – 108

Chapter III. Tangent Bundle and Differential Forms

pp.：  108 – 162

Chapter IV. Calculus of Differential Forms

pp.：  162 – 197

Chapter V. De Rham Cohomology

pp.：  197 – 261

Chapter VI. Mapping Degree

pp.：  261 – 301

Chapter VII. Integration over the Fibre

pp.：  301 – 337

Chapter VIII. Cohomology of Sphere Bundles

pp.：  337 – 373

Chapter IX. Cohomology of Vector Bundles

pp.：  373 – 412

Chapter X. The Lefschetz Class of a Manifold

pp.：  412 – 439

Appendix A. The Exponential Map

pp.：  439 – 444

References

pp.：  444 – 446

Bibliography

pp.：  446 – 452

Bibliography—Books

pp.：  452 – 454

Notation Index

pp.：  454 – 456

Index

pp.：  456 – 465

Pure and Applied Mathematics

pp.：  465 – 468

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