We present a result on trajectories of a Lagrangian system joining two given submanifolds of a Riemannian manifold, under the action of an unbounded potential. As an application, we consider geodesics in a class of semi-Riemannian manifolds, the Plane Wave type spacetimes. (c) 2006 Elsevier Ltd. All rights reserved.
Orthogonal trajectories on Riemannian manifolds and applications to Plane Wave type spacetimes / Bartolo, Rossella; Germinario, A. V.. - In: NONLINEAR ANALYSIS. - ISSN 0362-546X. - 66:11(2007), pp. 2355-2363. [10.1016/j.na.2006.03.027]
Orthogonal trajectories on Riemannian manifolds and applications to Plane Wave type spacetimes
BARTOLO, Rossella;
2007-01-01
Abstract
We present a result on trajectories of a Lagrangian system joining two given submanifolds of a Riemannian manifold, under the action of an unbounded potential. As an application, we consider geodesics in a class of semi-Riemannian manifolds, the Plane Wave type spacetimes. (c) 2006 Elsevier Ltd. All rights reserved.File in questo prodotto:
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