Logo

An Introduction to Riemannian Geometry

Small book cover: An Introduction to Riemannian Geometry

An Introduction to Riemannian Geometry
by

Publisher: Lund University
Number of pages: 106

Description:
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.

Home page url

Download or read it online for free here:
Download link
(580KB, PDF)

Similar books

Book cover: Riemannian GeometryRiemannian Geometry
by - arXiv
These notes on Riemannian geometry use the bases bundle and frame bundle, as in Geometry of Manifolds, to express the geometric structures. It starts with the definition of Riemannian and semi-Riemannian structures on manifolds.
(4656 views)
Book cover: Holonomy Groups in Riemannian GeometryHolonomy Groups in Riemannian Geometry
by - arXiv
The holonomy group is one of the fundamental analytical objects that one can define on a Riemannian manfold. These notes provide a first introduction to the main general ideas on the study of the holonomy groups of a Riemannian manifold.
(4959 views)
Book cover: A Panoramic View of Riemannian GeometryA Panoramic View of Riemannian Geometry
by - Springer
In this monumental work, Marcel Berger manages to survey large parts of present day Riemannian geometry. The book offers a great opportunity to get a first impression of some part of Riemannian geometry, together with hints for further reading.
(7874 views)
Book cover: Complex Analysis on Riemann SurfacesComplex Analysis on Riemann Surfaces
by - Harvard University
Contents: Maps between Riemann surfaces; Sheaves and analytic continuation; Algebraic functions; Holomorphic and harmonic forms; Cohomology of sheaves; Cohomology on a Riemann surface; Riemann-Roch; Serre duality; Maps to projective space; etc.
(10053 views)