Riemannian manifolds CONEXIONES GENERALES FIBRACIONES FIBRATIONS GENERAL CONNECTIONS METRICAS NATURALES NATURAL METRICS NATURAL TENSORS FIELDS RIEMANNIAN Riemannian manifold Statistics TENSORES NATURALES VARIEDADES RIEMANNIANAS Asymptotic analysis Asymptotic distributions Geometry Natural tensor fields Nonparametric estimation Simulation studies Statistical methods Yamabe equation Asymptotic properties Asymptotic results Bootstrap confidence interval Density estimation Discernibility Distribution functions Dynamical model Estimation Example based