The $$\infty $$-Elastica Problem on a Riemannian Manifold
نویسندگان
چکیده
Abstract We consider the following problem: on any given complete Riemannian manifold ( M , g ), among all curves which have fixed length as well endpoints and tangents at endpoints, minimise $$L^\infty $$ L ∞ norm of curvature. show that solutions this problem, a wider class curves, must satisfy second-order ODE system. From system,we obtain some geometric information about behaviour curves.
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ژورنال
عنوان ژورنال: Journal of Geometric Analysis
سال: 2023
ISSN: ['1559-002X', '1050-6926']
DOI: https://doi.org/10.1007/s12220-023-01281-2