Related references
Note: Only part of the references are listed.Sobolev Metrics on the Manifold of All Riemannian Metrics
Martin Bauer et al.
JOURNAL OF DIFFERENTIAL GEOMETRY (2017)
Generalized Hunter-Saxton Equations, Optimal Information Transport, and Factorization of Diffeomorphisms
Klas Modin
JOURNAL OF GEOMETRIC ANALYSIS (2015)
Information geometry and sufficient statistics
Nihat Ay et al.
PROBABILITY THEORY AND RELATED FIELDS (2015)
Geometry of Diffeomorphism Groups, Complete integrability and Geometric statistics
B. Khesin et al.
GEOMETRIC AND FUNCTIONAL ANALYSIS (2013)