Displaying 801 – 820 of 8738

Showing per page

Automorphisms of Spacetime Manifold with Torsion

Vladimir Ivanovich Pan’Zhenskii, Olga Petrovna Surina (2016)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

In this paper we prove that the maximum dimension of the Lie group of automorphisms of the Riemann–Cartan 4-dimensional manifold does not exceed 8, and if the Cartan connection is skew-symmetric or semisymmetric, the maximum dimension is equal to 7. In addition, in the case of the Riemann–Cartan n -dimensional manifolds with semisymmetric connection the maximum dimension of the Lie group of automorphisms is equal to n ( n - 1 ) / 2 + 1 for any n > 2 .

Barbilian's metrization procedure in the plane yields either Riemannian or Lagrange generalized metrics

Wladimir G. Boskoff, Bogdan D. Suceavă (2008)

Czechoslovak Mathematical Journal

In the present paper we answer two questions raised by Barbilian in 1960. First, we study how far can the hypothesis of Barbilian's metrization procedure can be relaxed. Then, we prove that Barbilian's metrization procedure in the plane generates either Riemannian metrics or Lagrance generalized metrics not reducible to Finslerian or Langrangian metrics.

Currently displaying 801 – 820 of 8738