The Co-Points of Rays are Cut Points of Upper Level Sets for Busemann Functions

• Опубліковано в: Symmetry, Integrability and Geometry: Methods and Applications
• Дата: 2016
• ISSN: 1815-0659
• Автор: Sabau, S.V.
• Формат: Стаття
• Мова: Англійська
• Опубліковано: Інститут математики НАН України 2016
• Онлайн доступ: https://nasplib.isofts.kiev.ua/handle/123456789/147734
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Цитувати: The Co-Points of Rays are Cut Points of Upper Level Sets for Busemann Functions / S.V. Sabau // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 12 назв. — англ.

We show that the co-rays to a ray in a complete non-compact Finsler manifold contain geodesic segments to upper level sets of Busemann functions. Moreover, we characterise the co-point set to a ray as the cut locus of such level sets. The structure theorem of the co-point set on a surface, namely th...