**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.

(

**13369**views)

**Riemannian Geometry: Definitions, Pictures, and Results**

by

**Adam Marsh**-

**arXiv**

A pedagogical but concise overview of Riemannian geometry is provided in the context of usage in physics. The emphasis is on defining and visualizing concepts and relationships between them, as well as listing common confusions and relevant theorems.

(

**2573**views)

**A Panoramic View of Riemannian Geometry**

by

**Marcel Berger**-

**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.

(

**7599**views)

**Holonomy Groups in Riemannian Geometry**

by

**Andrew Clarke, Bianca Santoro**-

**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.

(

**4747**views)