Hypersurface Constrained Elasticae in Lorentzian Space Forms. (24th November 2015)

• Record Type: Journal Article
• Authors: Garay, Óscar J.; Pámpano, Álvaro; Woo, Changhwa
• Other Names: Kurasov Pavel Academic Editor.
• Is Part Of: Advances in mathematical physics. Volume 2015(2015)
• Publication Date: 2015-11-24
• Subjects: Mathematical physics -- Periodicals; Mathematical physics; Periodicals; 530.15
• DOI: 10.1155/2015/458178
• Languages: English
• ISSNs: 1687-9120

Abstract

Abstract : We study geodesics in hypersurfaces of a Lorentzian space formM 1 n + 1 ( c ), which are critical curves of theM 1 n + 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 geodesicM 1 3 ( c ) 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.