Invariant Geometric Objects of the Canonical Almost-Geodesic Mapping π2 (e = 0)

• Date: 2002
• Main Authors: Grigoreva, T. I., Григор'єва, Т. І.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 2002
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/4171
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

For the canonical almost-geodesic mapping π2 (e = 0), we prove an analog of the Beltrami theorem in the theory of geodesic mappings. We introduce canonical π2-flat spaces and obtain metrics for them in a special coordinate system.