Functional Differential Geometry
by Gerald Jay Sussman, Jack Wisdom
Publisher: MIT 2005
Number of pages: 77
Differential geometry is deceptively simple. It is surprisingly easy to get the right answer with unclear and informal symbol manipulation. To address this problem we use computer programs to communicate a precise understanding of the computations in differential geometry.
Home page url
Download or read it online for free here:
by Sigmundur Gudmundsson - Lund University
These notes introduce the beautiful theory of Gaussian geometry i.e. the theory of curves and surfaces in three dimensional Euclidean space. The text is written for students with a good understanding of linear algebra and real analysis.
by Thomas E. Cecil, Shiing-shen Chern - Cambridge University Press
Tight and taut submanifolds form an important class of manifolds with special curvature properties, one that has been studied intensively by differential geometers since the 1950's. This book contains six articles by leading experts in the field.
by Kentaro Yano - North Holland Publishing Co.
The topics include: Spaces with a non-vanishing curvature tensor that admit a group of automorphisms of the maximum order; Groups of transformations in generalized spaces; Global properties of the groups of motions in a compact Riemannian space...
by Alexander I. Bobenko (ed.) - Springer
This is the book on a newly emerging field of discrete differential geometry. It surveys the fascinating connections between discrete models in differential geometry and complex analysis, integrable systems and applications in computer graphics.