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

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...

Full description

Saved in:
Bibliographic Details
Date:2015
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
Tags: Add Tag
No Tags, Be the first to tag this record!
Journal Title:Transactions of Institute of Mathematics of NAS of Ukraine
Download file: Pdf

Institution

Transactions of Institute of Mathematics of NAS of Ukraine