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Non-Euclidean Laguerre Geometry and Incircular Nets

Non-Euclidean Laguerre Geometry and Incircular Nets

Alexander I. Bobenko / Carl O.R. Lutz / Helmut Pottmann

48,53 €
IVA incluido
Disponible
Editorial:
Springer Nature B.V.
Año de edición:
2021
Materia
Geometría
ISBN:
9783030818487
48,53 €
IVA incluido
Disponible

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Sobre IBD

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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Otros libros del autor

  • Non-Euclidean Laguerre Geometry and Incircular Nets
    Alexander I. Bobenko / Carl O.R. Lutz / Helmut Pottmann
    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 hyp...
    Disponible

    80,46 €