Description: Metric Diffusion Along Foliations Please note: this item is printed on demand and will take extra time before it can be dispatched to you (up to 20 working days). Author(s): Szymon M. Walczak Format: Paperback Publisher: Springer International Publishing AG, Switzerland Imprint: Springer International Publishing AG ISBN-13: 9783319575162, 978-3319575162 Synopsis 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.
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End Time: 2024-11-23T09:22:53.000Z
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Book Title: Metric Diffusion Along Foliations
Item Height: 235 mm
Item Width: 155 mm
Series: Springerbriefs in Mathematics
Author: Szymon M. Walczak
Publication Name: Metric Diffusion Along Foliations
Format: Paperback
Language: English
Publisher: Springer International Publishing A&G
Subject: Mathematics
Publication Year: 2017
Type: Textbook
Item Weight: 1182 g
Number of Pages: 55 Pages
