The Geometry of Total Curvature on Complete Open Surfaces (Cambridge Tracts in Mathematics)
Cambridge University Press | December 22, 2003 | ISBN-10: 0521450543 | 294 pages | PDF | 1.61 MB
Cambridge University Press | December 22, 2003 | ISBN-10: 0521450543 | 294 pages | PDF | 1.61 MB
This independent account of modern ideas in differential geometry shows how they can be used to understand and extend classical results in integral geometry. The authors explore the influence of total curvature on the metric structure of complete, non-compact Riemannian 2-manifolds, although their work can be extended to more general spaces.