On an invariant on isometric immersions into spaces of constant sectional curvature

• Datum: 2009
• Hauptverfasser: Rivertz, H. J., Ріверц, Х. Дж.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2009
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/3129
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

In the present paper, we give an invariant on isometric immersions into spaces of constant sectional curvature. This invariant is a direct consequence of the Gauss equation and the Codazzi equation of isometric immersions. We apply this invariant on some examples. Further, we apply it to codimension...