The number of topologically non-equivalent minimal functions on closed surfaces

• Date: 2015
• Author Affiliations: О. А. Кадубовський
• Keywords: keywords
• Main Authors: Kadubovskyi, O. A., Кадубовський, О. А.
• Format: Article
• Language: Ukrainian
• Published: Інститут математики НАН України 2015
• Online Access: https://trim.imath.kiev.ua/index.php/trim/article/view/135
• Journal Title: Transactions of Institute of Mathematics of NAS of Ukraine

We consider two classes of smooth functions with three critical values on smooth closed surface of genus $g\geq1$, that possess only one (degenerate) saddle critical point in addition to $k$ local maxima and $l$ local minima. Namely: $C_{k,l}(M_g)$ is the class of such functions on oriented surface...