Circular $m$-functions

• Datum: 1994
• Hauptverfasser: Kurashvili, T. A., Курашвили, Т. А.
• Format: Artikel
• Sprache: Russisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 1994
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/5707
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

Circular $m$-functions are introduced on smooth manifolds with boundary. We study the distribution of their critical circles and construct an example of a four-dimensional manifol $dM^4$ with boundary $∂M^4$ that satisfies the condition $ξ(∂M 4) = ξ(M^4,∂M^4) = 0$ but does not contain any circularm-...