Directory UMM :Journals:Journal_of_mathematics:BJGA:
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Projecting the equations resulting from the Euler-Lagrange equations and the equations deduced from the application of Noether’s theorem back on the original space provides all
In this paper we consider the so-called geometrical theory of statistical models and we present a geometrical model of homogeneous continuous-time Markov chains (namely
Having in mind the model of convex hypersurfaces in Riemannian manifolds, we define the H -convexity of a Riemannian submanifold of arbitrary codimension, replacing the normal versor
The results from [10] and [11] concerning the natural lifts, and the classification of the natural vector fields on the tangent bundle of a pseudo-Riemannian manifold, made by Janyˇ
The concept of a Lepage form allows us to introduce the Euler-Lagrange dis- tribution for variational functionals, depending on velocities, in a similar way as in the calculus
This paper studies functionals defined by multiple integrals as- sociated to differential forms on the jet bundle of first order corresponding to some Riemannian manifolds; the
Properties of covariant connections defined on the generalized tangent bundle of a Riemannian manifold are established and their invari- ance with respect to generalized
The latter consists in proving that each two-dimensional Riemannian metric of positive curvature given on the sphere is realizable as the intrinsic metric of a closed convex
