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Differential Geometry of Frame Bundles

  • Luis A. Cordero
  • C. T. J. Dodson
  • Manuel de León

Part of the Mathematics and Its Applications book series (MAIA, volume 47)

Table of contents

  1. Front Matter
    Pages i-1
  2. Luis A. Cordero, C. T. J. Dodson, Manuel de León
    Pages 3-15
  3. Luis A. Cordero, C. T. J. Dodson, Manuel de León
    Pages 17-37
  4. Luis A. Cordero, C. T. J. Dodson, Manuel de León
    Pages 39-55
  5. Luis A. Cordero, C. T. J. Dodson, Manuel de León
    Pages 57-73
  6. Luis A. Cordero, C. T. J. Dodson, Manuel de León
    Pages 75-82
  7. Luis A. Cordero, C. T. J. Dodson, Manuel de León
    Pages 83-105
  8. Luis A. Cordero, C. T. J. Dodson, Manuel de León
    Pages 107-135
  9. Luis A. Cordero, C. T. J. Dodson, Manuel de León
    Pages 137-169
  10. Luis A. Cordero, C. T. J. Dodson, Manuel de León
    Pages 171-189
  11. Luis A. Cordero, C. T. J. Dodson, Manuel de León
    Pages 191-217
  12. Back Matter
    Pages 219-234

About this book

Introduction

It isn't that they can't see the solution. It is Approach your problems from the right end and begin with the answers. Then one day, that they can't see the problem perhaps you will find the final question. G. K. Chesterton. The Scandal of Father 'The Hermit Oad in Crane Feathers' in R. Brown 'The point of a Pin'. van Gu!ik's The Chillese Maze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces. And in addition to this there are such new emerging subdisciplines as "experimental mathematics", "CFD", "completely integrable systems", "chaos, synergetics and large-scale order", which are almost impossible to fit into the existing classification schemes. They draw upon widely different sections of mathematics.

Keywords

Hermitian manifold Lie group covariant derivative curvature diffeomorphism differential geometry manifold

Authors and affiliations

  • Luis A. Cordero
    • 1
  • C. T. J. Dodson
    • 2
  • Manuel de León
    • 3
  1. 1.Department of Geometry and TopologyUniversity of Santiago de CompostelaSpain
  2. 2.Department of MathematicsUniversity of LancasterUK
  3. 3.C.E.C.I.M.E.-C.S.I.C.MadridSpain

Bibliographic information

  • DOI https://doi.org/10.1007/978-94-009-1265-6
  • Copyright Information Springer Science+Business Media B.V. 1989
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-94-010-7062-1
  • Online ISBN 978-94-009-1265-6
  • Buy this book on publisher's site
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