Diffeomorphism groups of Morse-Bott foliation on the solid Klein bottle by Klein bottles parallel to the boundary

• Date: 2023
• Author Affiliations: Sergiy Maksymenko — Institute of Mathematics of the National Academy of Science of Ukraine
• Keywords: keywords
• Main Authors: Maksymenko, Sergiy, Максименко, Сергій
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2023
• Online Access: https://trim.imath.kiev.ua/index.php/trim/article/view/532
• Journal Title: Transactions of Institute of Mathematics of NAS of Ukraine

Let $\mathcal{G}$ be a Morse-Bott foliation on the solid Klein bottle $\mathbf{K}$ into $2$-dimensional Klein bottles parallel to the boundary and one singular circle $S^1$. Let also $S^1\widetilde{\times}S^2$ be the twisted bundle over $S^1$ which is a union of two solid Klein bottles $\mathbf{K}_0...