Correction to: Differential Geometry and Lie Groups
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Jean Gallier Jocelyn Quaintance
Differential Geometry and Lie Groups A Second Course
Geometry and Computing Volume 13
Series Editors Herbert Edelsbrunner, Department Computer Science, Durham, NC, USA Leif Kobbelt, RWTH Aachen University, Aachen, Germany Konrad Polthier, AG Mathematical Geometry Processing, Freie Universität Berlin, Berlin, Germany Advisory Board Jean-Daniel Boissonnat, Sophia Antipolis CX, France Gunnar Carlsson, Stanford, CA, USA Bernard Chazelle, Princeton, NJ, USA Xiao-Shan Gao, Beijing, China Craig Gotsman, Haifa, Israel Leonidas J. Guibas, Stanford, CA, USA Myung-Soo Kim, Seoul, Korea (Republic of) Takao Nishizeki, Sendai, Miyagi, Japan Helmut Pottmann, Jeddah, Saudi Arabia Roberto Scopigno, Pisa, Italy Hans-Peter Seidel, Saarbrücken, Saarland, Germany Steve Smale, Berkeley, CA, USA Peter Schröder, Pasadena, CA, USA Dietrich Stoyan, Freiberg, Sachsen, Germany
Geometric shapes belong to our every-day life, and modeling and optimization of such forms determine biological and industrial success. Similar to the digital revolution in image processing, which turned digital cameras and online video downloads into consumer products, nowadays we encounter a strong industrial need and scientific research on geometry processing technologies for 3D shapes. Several disciplines are involved, many with their origins in mathematics, revived with computational emphasis within computer science, and motivated by applications in the sciences and engineering. Just to mention one example, the renewed interest in discrete differential geometry is motivated by the need for a theoretical foundation for geometry processing algorithms, which cannot be found in classical differential geometry. Scope: This book series is devoted to new developments in geometry and computation and its applications. It provides a scientific resource library for education, research, and industry. The series constitutes a platform for publication of the latest research in mathematics and computer science on topics in this field. • • • • • • • • • • • • • • • • • • • • • • • •
Discrete geometry Computational geometry Differential geometry Discrete differential geometry Computer graphics Geometry processing CAD/CAM Computer-aided geometric design Geometric topology Computational topology Statistical shape analysis Structural molecular biology Shape optimization Geometric data structures Geometric probability Geometric constraint solving Algebraic geometry Graph theory Physics-based modeling Kinematics Symbolic computation Approximation theory Scientific computing Computer vision
More information about this series at http://www.springer.com/series/7580
Jean Gallier • Jocelyn Quaintance
Differential Geometry and Lie Groups A Second Course
Jean Gallier Department of Computer and Information Science University of Pennsylvania Philadelphia, PA, USA
Jocelyn Quaintance Department of Computer and Information Science University of Pennsylvania Philadelphia, PA, USA
ISSN 1866-6795 ISSN 1866-6809 (electronic) Geometry and Computing ISBN 978-3
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