RIEMANNIAN SUBMERSIONS OF SO 0 (2, 1)

• Published in: Journal of the Korean Mathematical Society Vol. 58; no. 6; pp. 1407 - 1419
• Main Author: Byun, Taechang
• Format: Journal Article
• Language: Korean
• Published: 2021
• Subjects: solvable Lie group; nilpotent Lie group; principal bundle; area form; Lie algebra; Holonomy displacement; Riemannian submersion

The Iwasawa decomposition NAK of the Lie group G = SO0(2, 1) with a left invariant metric produces Riemannian submersions G → N\G, G → A\G, G → K\G, and G → NA\G. For each of these, we calculate the curvature of the base space and the lifting of a simple closed curve to the total space G. Especially...