**Riemann Surfaces, Dynamics and Geometry**

by Curtis McMullen

**Publisher**: Harvard University 2008**Number of pages**: 167

**Description**:

This course will concern the interaction between: hyperbolic geometry in dimensions 2 and 3, the dynamics of iterated rational maps, and the theory of Riemann surfaces and their deformations. Intended for advanced graduate students. Acquaintance with complex analysis, hyperbolic geometry, Lie groups and dynamical systems will be useful.

Download or read it online for free here:

**Download link**

(5.3MB, PDF)

## Similar books

**Semi-Riemann Geometry and General Relativity**

by

**Shlomo Sternberg**

Course notes for an introduction to Riemannian geometry and its principal physical application, Einsteinâ€™s theory of general relativity. The background assumed is a good grounding in linear algebra and in advanced calculus.

(

**15750**views)

**A Sampler of Riemann-Finsler Geometry**

by

**D. Bao, R. Bryant, S. Chern, Z. Shen**-

**Cambridge University Press**

Finsler geometry generalizes Riemannian geometry in the same sense that Banach spaces generalize Hilbert spaces. The contributors consider issues related to volume, geodesics, curvature, complex differential geometry, and parametrized jet bundles.

(

**11453**views)

**Lectures on Differential Geometry**

by

**John Douglas Moore**-

**University of California**

Foundations of Riemannian geometry, including geodesics and curvature, as well as connections in vector bundles, and then go on to discuss the relationships between curvature and topology. Topology will presented in two dual contrasting forms.

(

**8855**views)

**An Introduction to Riemannian Geometry**

by

**Sigmundur Gudmundsson**-

**Lund University**

The main purpose of these lecture notes is to introduce the beautiful theory of Riemannian Geometry. Of special interest are the classical Lie groups allowing concrete calculations of many of the abstract notions on the menu.

(

**11971**views)