Non-Euclidean Laguerre Geometry and Incircular Nets

Author:   Alexander I. Bobenko ,  Carl O.R. Lutz ,  Helmut Pottmann ,  Jan Techter
Publisher:   Springer Nature Switzerland AG
Edition:   1st ed. 2021
ISBN:  

9783030818463


Pages:   137
Publication Date:   30 October 2021
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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Non-Euclidean Laguerre Geometry and Incircular Nets


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Author:   Alexander I. Bobenko ,  Carl O.R. Lutz ,  Helmut Pottmann ,  Jan Techter
Publisher:   Springer Nature Switzerland AG
Imprint:   Springer Nature Switzerland AG
Edition:   1st ed. 2021
Weight:   0.238kg
ISBN:  

9783030818463


ISBN 10:   3030818462
Pages:   137
Publication Date:   30 October 2021
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

Introduction.- Two-dimensional non-Euclidean Laguerre geometry.- Quadrics in projective space.- Cayley-Klein spaces.- Central projection of quadrics and Moebius geometry.- Non-Euclidean Laguerre geometry.- Lie geometry.- Checkerboard incircular nets.- Euclidean cases.- Generalized signed inversive distance.

Reviews

The book is very geometric in flavour and contains lots of instructive illustrations. (Norbert Knarr, zbMATH 1492.51001, 2022)


Author Information

Alexander Bobenko is a professor at the Technische Universitat Berlin. He is an author with Yuri Suris of the book Discrete Differential Geometry , and editor of several books in geometry and mathematical physics. He is the Coordinator of the DFG Collaboration Research Center Discretization in Geometry and Dynamics . Carl Lutz is a doctoral student at Technische Universitat Berlin. He wrote his master thesis under the supervision of Alexander Bobenko on the topic Laguerre Geometry in Space Forms . Helmut Pottmann is a professor at King Abdullah University of Science and Technology in Saudi Arabia and at Technische Universitat Wien. He has co-authored two books ( Computational Line Geometry and Architectural Geometry ) and has been founding director of the Visual Computing Center at KAUST and the Center for Geometry and Computational Design at TU Wien. Jan Techter is a postdoc at Technische Universitat Berlin. He wrote his doctoral thesis under the supervision of Alexander Bobenko on the topic Discrete Confocal Quadrics and Checkerboard Incircular Nets .

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