Hypersurface Constrained Elasticae in Lorentzian Space Forms

Óscar J. Garay, Álvaro Pámpano and Changhwa Woo

Advances in Mathematical Physics, 2015, vol. 2015, 1-13

Abstract:

We study geodesics in hypersurfaces of a Lorentzian space form , which are critical curves of the -bending energy functional, for variations constrained to lie on the hypersurface. We characterize critical geodesics showing that they live fully immersed in a totally geodesic and that they must be of three different types. Finally, we consider the classification of surfaces in the Minkowski 3-space foliated by critical geodesics.

Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlamp:458178

DOI: 10.1155/2015/458178

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