Remarks on minimal round functions

• Autorzy: Georgi Khimshiashvili , Dirk Siersma
• Języki publikacji: EN

Abstrakty

EN

We describe the structure of minimal round functions on compact closed surfaces and three-dimensional manifolds. The minimal possible number of critical loops is determined and typical non-equisingular round function germs are interpreted in the spirit of isolated line singularities. We also discuss a version of Lusternik-Schnirelmann theory suitable for round functions.

Kategorie tematyczne

• 57R70: Critical points and critical submanifolds
• 55M30: Ljusternik-Schnirelman (Lyusternik-Shnirel\cprime man) category of a space

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2003
• Tom: 62
• Numer: 1
• Strony: 159-172

Daty

wydano

2003

Twórcy

autor

Georgi Khimshiashvili

• Georgian Academy of Sciences, A. Razmadze Mathematical Institute, Aleksidze str. 1, 380093 Tbilisi, Georgia

autor

Dirk Siersma

• Department of Mathematics, Utrecht University, P.O. Box 80010, 3508 TA Utrecht, The Netherlands

Identyfikatory

DOI

10.4064/bc62-0-12