**An Introduction to Gaussian Geometry**

by Sigmundur Gudmundsson

**Publisher**: Lund University 2009**Number of pages**: 75

**Description**:

The purpose of these notes is to introduce the beautiful theory of Gaussian geometry i.e. the theory of curves and surfaces in three dimensional Euclidean space. The text is written for students with a good understanding of linear algebra, real analysis of several variables, and basic knowledge of the classical theory of ordinary differential equations and some topology.

Download or read it online for free here:

**Download link**

(370KB, PDF)

## Similar books

**Notes on Symmetric Spaces**

by

**Jonathan Holland, Bogdan Ion**-

**arXiv**

Contents: Affine connections and transformations; Symmetric spaces; Orthogonal symmetric Lie algebras; Examples; Noncompact symmetric spaces; Compact semisimple Lie groups; Hermitian symmetric spaces; Classification of real simple Lie algebras.

(

**8234**views)

**Geometric Wave Equations**

by

**Stefan Waldmann**-

**arXiv**

We discuss the solution theory of geometric wave equations as they arise in Lorentzian geometry: for a normally hyperbolic differential operator the existence and uniqueness properties of Green functions and Green operators is discussed.

(

**9837**views)

**Global Theory Of Minimal Surfaces**

by

**David Hoffman**-

**American Mathematical Society**

The wide variety of topics covered make this volume suitable for graduate students and researchers interested in differential geometry. The subjects covered include minimal and constant-mean-curvature submanifolds, Lagrangian geometry, and more.

(

**10030**views)

**Noncompact Harmonic Manifolds**

by

**Gerhard Knieper, Norbert Peyerimhoff**-

**arXiv**

We provide a survey on recent results on noncompact simply connected harmonic manifolds, and we also prove many new results, both for general noncompact harmonic manifolds and for noncompact harmonic manifolds with purely exponential volume growth.

(

**6482**views)