A Direct Approach to the Determination of Gaussian and Scalar Curvature Functions.
A geometry on the space of probabilities (II). Projective spaces and exponential families.
In this note we continue a theme taken up in part I, see [Gzyl and Recht: The geometry on the class of probabilities (I). The finite dimensional case. Rev. Mat. Iberoamericana 22 (2006), 545-558], namely to provide a geometric interpretation of exponential families as end points of geodesics of a non-metric connection in a function space. For that we characterize the space of probability densities as a projective space in the class of strictly positive functions, and these will be regarded as a...
A Kähler structure on moduli space of isometric maps of a circle into Euclidean space.
A new proof of Szabó's theorem on the Riemann-metrizability of Berwald manifolds.
Algebraic Characterization of Symmetrie Complex Banach Manifolds.
Applications harmoniques stables