Metric Diffusion Along Foliations

• Main Author: Walczak, Szymon M. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2017.
• Series: SpringerBriefs in Mathematics,
• Subjects: Mathematics.; Differential geometry.; Topology.; Differential Geometry.

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...

Table of Contents:

• 1. Wasserstein distance
• 2. Foliations and heat diffusion
• 3. Compact foliations
• 4. Metric diffusion
• 5. Metric diffusion for non-compact foliations.