An Introduction to Riemannian Geometry
by Sigmundur Gudmundsson
Publisher: Lund University 2010
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.
Download or read it online for free here:
Download link
(580KB, PDF)
Similar books
Riemannian Geometryby Ilkka Holopainen, Tuomas Sahlsten
Based on the lecture notes on differential geometry. From the contents: Differentiable manifolds, a brief review; Riemannian metrics; Connections; Geodesics; Curvature; Jacobi fields; Curvature and topology; Comparison geometry; The sphere theorem.
(8677 views)
Medians and Means in Riemannian Geometry: Existence, Uniqueness and Computationby M. Arnaudon, F. Barbaresco, L. Yang - arXiv
This paper is a short summary of our recent work on the medians and means of probability measures in Riemannian manifolds. The existence and uniqueness results of local medians are given. We propose a subgradient algorithm and prove its convergence.
(10090 views)
Lectures notes on compact Riemann surfacesby Bertrand Eynard - arXiv.org
An introduction to the geometry of compact Riemann surfaces. Contents: Riemann surfaces; Functions and forms on Riemann surfaces; Abel map, Jacobian and Theta function; Riemann-Roch; Moduli spaces; Eigenvector bundles and solutions of Lax equations.
(5416 views)
Riemannian Submanifolds: A Surveyby Bang-Yen Chen - arXiv
Submanifold theory is a very active vast research field which plays an important role in the development of modern differential geometry. In this book, the author provides a broad review of Riemannian submanifolds in differential geometry.
(7172 views)