Geometry of total curvature on complete open surfaces, The
Curves on surfaces Global differential geometry Riemannian manifolds e-böcker
Cambridge University Press
2003
EISBN 9780511065460
Cover; Half-title; Title; Copyright; Contents; Preface; 1 Riemannian geometry; 2 The classical results of Cohn-Vossen and Huber; 3 The ideal boundary; 4 The cut loci of complete open surfaces; 5 Isoperimetric inequalities; 6 Mass of rays; 7 The poles and cut loci of a surface of revolution; 8 The behavior of geodesics; References; Index.
A self-contained account of how modern differential geometry can be used to tackle and extend classical results in integral geometry. Open problems are provided, and the text is richly illustrated with figures to aid understanding and develop intuition. Suitable for graduate students and non-specialists seeking an introduction to this area.
A self-contained account of how modern differential geometry can be used to tackle and extend classical results in integral geometry. Open problems are provided, and the text is richly illustrated with figures to aid understanding and develop intuition. Suitable for graduate students and non-specialists seeking an introduction to this area.
