N. Lebedeva, A. Petrunin, “On the total curvature of minimizing geodesics on convex surfaces”, Алгебра и анализ, 2017, том 29, выпуск 1,страницы 189

Статьи

On the total curvature of minimizing geodesics on convex surfaces

N. Lebedeva^ab, A. Petrunin^c

^a Department of Mathematics and Mechanics, St. Petersburg State University, Universitetskii pr., 28, 198504, St. Petersburg, Russia
^b St. Petersburg Branch, Steklov Institute of Mathematics, Russian Academy of Sciences, Fontanka, 27, 191023, St. Petersburg, Russia
^c Math. Dept. PSU, University Park, PA 16802, USA

Аннотация: We give a universal upper bound for the total curvature of a minimizing geodesic on a convex surface in the Euclidean space.

Ключевые слова: geodesic, curvature, Liberman's lemma, development, tongue.

Поступила в редакцию: 20.05.2016

Язык публикации: английский