The geometry of geodesics

Herbert Busemann9780123745552, 0123745551, 0121483509, 9780121483500

A comprehensive approach to qualitative problems in intrinsic differential geometry, this text opens with an explanation of the basic concepts and proceeds to discussions of Desarguesian spaces, perpendiculars and parallels, and covering spaces. Concluding chapters examine the influence of the sign of the curvature on geodesics and homogenous spaces. 1955 edition. Includes 66 figures.