Leif Ellingson & Victor Patrangenaru 
Nonparametric Statistics on Manifolds and Their Applications to Object Data Analysis [PDF ebook] 

A New Way of Analyzing Object Data from a Nonparametric Viewpoint Nonparametric Statistics on Manifolds and Their Applications to Object Data Analysis provides one of the first thorough treatments of the theory and methodology for analyzing data on manifolds. It also presents in-depth applications to practical problems arising in a variety of fields