Bøger af Shoshichi Kobayashi

Chapter 2 deals with local properties of surfaces in 3-dimensional Euclidean space. In Chapter 3, the Riemannian metric on a surface is introduced and properties determined only by the first fundamental form are discussed.

Given a mathematical structure, one of the basic associated mathematical objects is its automorphism group. Chapter I describes a general theory of automorphisms of geometric structures with emphasis on the question of when the automorphism group can be given a Lie group structure.

This set features: "Foundations of Differential Geometry, Volume 1 " (978-0-471-15733-5) and "Foundations of Differential Geometry, Volume 2" (978-0-471-15732-8), both by Shoshichi Kobayashi and Katsumi Nomizu