An Introduction to Differential Geometry.

Introduction to Differential Geometry

Introduction to Moebius differential geometry

This book aims to introduce the reader to the geometry of surfaces and submanifolds in the conformal n-sphere. Various models for Möbius geometry are presented: the classical projective model, the quaternionic approach, and an approach that uses the Clifford algebra of the space of homogeneous coordinates of the classical model — the use of 2-by-2 matrices in this context is elaborated. For eac...

An Introduction to Differential Geometry with Applications to Elasticity

Discrete Differential Geometry: an Applied Introduction

domain M parameterization immersed surface Remember that, like the cartographers of yore, our goal is to parameterize a given surface over the plane. In particular, we want to find a map that preserves angles. How can we express this condition more explicitly? Well, we know how to express 90-degree rotations on the surface, using the complex structure J . And we know how to express 90-degree ro...

An Introduction to Geometric Mechanics and Differential Geometry