Hypersurface Constrained Elasticae in Lorentzian Space Forms

We study geodesics in hypersurfaces of a Lorentzian space form M1n+1(c), which are critical curves of the M1n+1(c)-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 M13(c) a...

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Bibliographic Details
Main Authors: Óscar J. Garay, Álvaro Pámpano, Changhwa Woo
Format: Article
Language:English
Published: Wiley 2015-01-01
Series:Advances in Mathematical Physics
Online Access:http://dx.doi.org/10.1155/2015/458178
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