Functions with nondegenerate critical points on the boundary of the surface

• Дата: 2016
• Автори: Hladysh, B. I., Prishlyak, O. O., Гладиш, Б. І., Пришляк, О. О.
• Формат: Стаття
• Мова: Українська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2016
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/1819
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We prove an analog of the Morse theorem in the case where the critical point belongs to the boundary of an $n$-dimensional manifold and find the least number of critical points for the Morse functions defined on the surfaces whose critical points coincide with the critical points of their restrictio...