On the number of critical submanifolds of a function on a manifold

• Дата: 1993
• Автори: Bondar', O. P., Бондарь, О. П.
• Формат: Стаття
• Мова: Російська; Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 1993
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/5979
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We consider differentiable functions on a manifold such that the set of their critical points is a disconnected union of smooth submanifolds. A topological characteristic of the manifold is introduced; in terms of this characteristic, we estimate the least possible number of critical submanifolds of...