The Fisher information and the Rao measure are obtained in closed form for a family of probability density functions parametrized by the manifold PSL(2, R) of projective transformations of the real ...
Abstract.The notion of 𝐹—geodesic, which is slightly different from that of 𝐹—planar curve (see [13], [17], and [18]), generalizes the magnetic curves, and implicitly the geodesics, by using any ...
Differential geometry is a pivotal field of mathematics that examines the properties of curves, surfaces and more general manifolds by utilising methods from calculus and linear algebra. Its ...