Generalized elastica on 2-dimensional de Sitter space S12-Reference-Cited by-同舟云学术

Generalized elastica on 2-dimensional de Sitter space S12

Published:2016-03-31 Issue:04 Volume:13 Page:1650047
ISSN:0219-8878
Container-title:International Journal of Geometric Methods in Modern Physics
language:en
Short-container-title:Int. J. Geom. Methods Mod. Phys.

Author:

Huang Rongpei¹,Yu Junyan²

Affiliation:

1. Department of Mathematics, East China Normal University, Shanghai 200241, P. R. China

2. Shanghai Science and Technology Management School, Shanghai 200433, P. R. China

Abstract

In this paper, the extremals of curvature energy actions on non-null regular curves in 2-dimensional de Sitter space are studied. We completely solve the Euler–Lagrange equation by quadratures. By using the Killing field, we construct three special coordinate systems and express the generalized elastica in 2-dimensional de Sitter space [Formula: see text] by integral explicitly.

Publisher

World Scientific Pub Co Pte Lt

Subject

Physics and Astronomy (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S021988781650047X

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