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Non-Euclidean Laguerre Geometry and Incircular Nets
Engelsk Paperback
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Non-Euclidean Laguerre Geometry and Incircular Nets
Engelsk Paperback

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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.





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Product detaljer
Sprog:
Engelsk
Sider:
137
ISBN-13:
9783030818463
Indbinding:
Paperback
Udgave:
ISBN-10:
3030818462
Udg. Dato:
30 okt 2021
Længde:
0mm
Bredde:
155mm
Højde:
235mm
Forlag:
Springer Nature Switzerland AG
Oplagsdato:
30 okt 2021
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