Natural intrinsic geometrical symmetries.
Neighbourhoods of independence and associated geometry in manifolds of bivariate Gaussian and Freund distributions
We provide explicit information geometric tubular neighbourhoods containing all bivariate distributions sufficiently close to the cases of independent Poisson or Gaussian processes. This is achieved via affine immersions of the 4-manifold of Freund bivariate distributions and of the 5-manifold of bivariate Gaussians. We provide also the α-geometry for both manifolds. The Central Limit Theorem makes our neighbourhoods of independence limiting cases for a wide range of bivariate distributions; the...
Nota sobre planos isoclinos
Notes on extended recurrent and extended quasi-recurrent manifolds.
Notes on isometries