An Introduction to Riemannian Geometry by Sigmundur Gudmundsson
Publisher: Lund University 2010
Number of pages: 106
The main purpose of these lecture notes is to introduce the beautiful theory of Riemannian Geometry, a still very active area of mathematical research. This is a subject with no lack of interesting examples. They are indeed the key to a good understanding of it and will therefore play a major role throughout this work. Of special interest are the classical Lie groups allowing concrete calculations of many of the abstract notions on the menu.
Mathematics Geometry & Topology Differential Geometry Riemannian Geometry