SpringerBriefs in Mathematics

Metric Diffusion Along Foliations

Authors: Walczak, Szymon M.

  • Covers metric diffusion along compact foliations
  • Reinforces basic principles in foliations, holonomy, and heat diffusion
  • Clarifies the metrization of weak topology 
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eBook $39.99
price for USA (gross)
  • ISBN 978-3-319-57517-9
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
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  • Immediate eBook download after purchase
Softcover $54.99
price for USA
  • ISBN 978-3-319-57516-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

Up-to-date research in metric diffusion along compact foliations is presented in this book. Beginning with fundamentals from the optimal transportation theory and the theory of foliations; this book moves on to cover Wasserstein distance, Kantorovich Duality Theorem, and the metrization of the weak topology by the Wasserstein distance. Metric diffusion is defined, the topology of the metric space is studied and the limits of diffused metrics along compact foliations are discussed. Essentials on foliations, holonomy, heat diffusion, and compact foliations are detailed and vital technical lemmas are proved to aide understanding.

Graduate students and researchers in geometry, topology and dynamics of foliations and laminations will find this supplement useful as it presents facts about the metric diffusion along non-compact foliation and provides a full description of the limit for metrics diffused along foliation with at least one compact leaf on the two dimensions.

Table of contents (5 chapters)

Buy this book

eBook $39.99
price for USA (gross)
  • ISBN 978-3-319-57517-9
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $54.99
price for USA
  • ISBN 978-3-319-57516-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Metric Diffusion Along Foliations
Authors
Series Title
SpringerBriefs in Mathematics
Copyright
2017
Publisher
Springer International Publishing
Copyright Holder
The Author(s)
eBook ISBN
978-3-319-57517-9
DOI
10.1007/978-3-319-57517-9
Softcover ISBN
978-3-319-57516-2
Series ISSN
2191-8198
Edition Number
1
Number of Pages
XI, 55
Number of Illustrations and Tables
19 b/w illustrations
Topics