© 2005

Geometry of Principal Sheaves

  • M. Hazewinkel


  • First book to treat connections on principal and associated sheaves

  • Opens a new algebraic perspective into the geometry of fiber bundles

  • Provides a non-smooth platform for potential applications to physics


Part of the Mathematics and Its Applications book series (MAIA, volume 578)

Table of contents

  1. Front Matter
    Pages i-xvi
  2. Pages 89-129
  3. Pages 131-161
  4. Pages 279-340
  5. Pages 341-368
  6. Back Matter
    Pages 409-444

About this book


Lie brandonwiskunde calculus curvature differential geometry geometry manifold

Authors and affiliations

  1. 1.University of AthensGreece

Editors and affiliations

  • M. Hazewinkel
    • 1
  1. 1.Centre for Mathematics and Computer ScienceAmsterdamThe Netherlands

Bibliographic information

  • Book Title Geometry of Principal Sheaves
  • Authors Efstathios Vassiliou
  • Series Title Mathematics and Its Applications
  • DOI
  • Copyright Information Springer 2005
  • Publisher Name Springer, Dordrecht
  • eBook Packages Mathematics and Statistics Mathematics and Statistics (R0)
  • Hardcover ISBN 978-1-4020-3415-2
  • Softcover ISBN 978-90-481-6858-3
  • eBook ISBN 978-1-4020-3416-9
  • Edition Number 1
  • Number of Pages XVI, 444
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Topics Differential Geometry
  • Buy this book on publisher's site


From the reviews of the first edition:

"The book provides an accessible, well-written monograph devoted to the theory of principal sheaves and their connections in the setting initiated by, Geometry of vector sheaves. … It is designed also as a reference book with detailed expositions and complete and self-contained proofs." (Witold Mozgawa, Zentralblatt MATH, Vol. 1082, 2006)