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Hypersurface Constrained Elasticae in Lorentzian Space Forms
Joint Authors
Garay, Óscar J.
Pámpano, Álvaro
Woo, Changhwa
Source
Advances in Mathematical Physics
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-11-24
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
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) 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.
American Psychological Association (APA)
Garay, Óscar J.& Pámpano, Álvaro& Woo, Changhwa. 2015. Hypersurface Constrained Elasticae in Lorentzian Space Forms. Advances in Mathematical Physics،Vol. 2015, no. 2015, pp.1-13.
https://search.emarefa.net/detail/BIM-1052974
Modern Language Association (MLA)
Garay, Óscar J.…[et al.]. Hypersurface Constrained Elasticae in Lorentzian Space Forms. Advances in Mathematical Physics No. 2015 (2015), pp.1-13.
https://search.emarefa.net/detail/BIM-1052974
American Medical Association (AMA)
Garay, Óscar J.& Pámpano, Álvaro& Woo, Changhwa. Hypersurface Constrained Elasticae in Lorentzian Space Forms. Advances in Mathematical Physics. 2015. Vol. 2015, no. 2015, pp.1-13.
https://search.emarefa.net/detail/BIM-1052974
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1052974