Non-Euclidean Laguerre Geometry and Incircular Nets Paperback / softback
by Alexander I. Bobenko, Carl O.R. Lutz, Helmut Pottmann, Jan Techter
Part of the SpringerBriefs in Mathematics series
Paperback / softback
Description
This textbook is a comprehensive and yet accessible introduction to non-Euclidean Laguerre geometry, for which there exists no previous systematic presentation in the literature.
Moreover, we present new results by demonstrating all essential features of Laguerre geometry on the example of checkerboard incircular nets. Classical (Euclidean) Laguerre geometry studies oriented hyperplanes, oriented hyperspheres, and their oriented contact in Euclidean space.
We describe how this can be generalized to arbitrary Cayley-Klein spaces, in particular hyperbolic and elliptic space, and study the corresponding groups of Laguerre transformations.
We give an introduction to Lie geometry and describe how these Laguerre geometries can be obtained as subgeometries.
As an application of two-dimensional Lie and Laguerre geometry we study the properties of checkerboard incircular nets.
Information
-
Available to Order - This title is available to order, with delivery expected within 2 weeks
- Format:Paperback / softback
- Pages:137 pages, 53 Illustrations, color; 4 Illustrations, black and white; X, 137 p. 57 illus., 53 illus.
- Publisher:Springer Nature Switzerland AG
- Publication Date:30/10/2021
- Category:
- ISBN:9783030818463
Information
-
Available to Order - This title is available to order, with delivery expected within 2 weeks
- Format:Paperback / softback
- Pages:137 pages, 53 Illustrations, color; 4 Illustrations, black and white; X, 137 p. 57 illus., 53 illus.
- Publisher:Springer Nature Switzerland AG
- Publication Date:30/10/2021
- Category:
- ISBN:9783030818463
