In this paper we present existence and multiplicity results for orthogonal trajectories joining two submanifolds under the action of gravitational and electromagnetic fields on static space-times. These trajectories are critical points of unbounded functionals and they can be found by using a variant of the saddle point theorem and the relative category theory.
Trajectories joining two submanifolds under the action of gravitational and electromagnetic fields on static spacetimes / Bartolo, Rossella; Germinario, Anna. - In: MATHEMATICAL PHYSICS ANALYSIS AND GEOMETRY. - ISSN 1385-0172. - STAMPA. - 5:2(2002), pp. 125-143. [10.1023/A:1016284210812]
Trajectories joining two submanifolds under the action of gravitational and electromagnetic fields on static spacetimes
Rossella Bartolo;
2002-01-01
Abstract
In this paper we present existence and multiplicity results for orthogonal trajectories joining two submanifolds under the action of gravitational and electromagnetic fields on static space-times. These trajectories are critical points of unbounded functionals and they can be found by using a variant of the saddle point theorem and the relative category theory.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.