Geodesic completeness of the left-invariant metrics on ${{\mathbb{R}} H^n} $

• Datum: 2020
• Hauptverfasser: Vukmirović, Srdjan, Šukilović, Tijana
• Format: Artikel
• Sprache: Englisch; Ukrainisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2020
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/645
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

UDC 514 We give the full classification of left-invariant metrics of an arbitrary signature on the Lie group corresponding to the real hyperbolic space. We show that all metrics have constant sectional curvature and that they are geodesically complete only in the Riemannian case.