Lie Geometry

Alexander I. Bobenko; Carl O.R. Lutz; Helmut Pottmann; Jan Techter

doi:10.1007/978-3-030-81847-0_7

Lie Geometry

Alexander I. Bobenko^*, Carl O.R. Lutz, Helmut Pottmann, Jan Techter

^*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

Abstract

Möbius geometry (signature (n+ 1, 1 ), see Sect. 5.4 ), hyperbolic Laguerre geometry (signature (n, 2), see Sect. 6.2 ), elliptic Laguerre geometry (signature (n+ 1, 1 ), see Sect. 6.3 ), as well as Euclidean Laguerre geometry (signature (n, 1, 1), see Sect. A.4) can all be lifted to Lie geometry (signature (n+ 1, 2 ) ) using the methods from Chaps. 5 and 6.

Original language	English (US)
Title of host publication	SpringerBriefs in Mathematics
Publisher	Springer Science and Business Media B.V.
Pages	71-80
Number of pages	10
DOIs	https://doi.org/10.1007/978-3-030-81847-0_7
State	Published - 2021

Publication series

Name	SpringerBriefs in Mathematics
ISSN (Print)	2191-8198
ISSN (Electronic)	2191-8201

Bibliographical note

Publisher Copyright:
© 2021, The Author(s), under exclusive license to Springer Nature Switzerland AG.

ASJC Scopus subject areas

General Mathematics

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10.1007/978-3-030-81847-0_7

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title = "Lie Geometry",

abstract = "M{\"o}bius geometry (signature (n+ 1, 1 ), see Sect. 5.4 ), hyperbolic Laguerre geometry (signature (n, 2), see Sect. 6.2 ), elliptic Laguerre geometry (signature (n+ 1, 1 ), see Sect. 6.3 ), as well as Euclidean Laguerre geometry (signature (n, 1, 1), see Sect. A.4) can all be lifted to Lie geometry (signature (n+ 1, 2 ) ) using the methods from Chaps. 5 and 6.",

author = "Bobenko, {Alexander I.} and Lutz, {Carl O.R.} and Helmut Pottmann and Jan Techter",

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T1 - Lie Geometry

AU - Bobenko, Alexander I.

AU - Lutz, Carl O.R.

AU - Pottmann, Helmut

AU - Techter, Jan

PY - 2021

Y1 - 2021

N2 - Möbius geometry (signature (n+ 1, 1 ), see Sect. 5.4 ), hyperbolic Laguerre geometry (signature (n, 2), see Sect. 6.2 ), elliptic Laguerre geometry (signature (n+ 1, 1 ), see Sect. 6.3 ), as well as Euclidean Laguerre geometry (signature (n, 1, 1), see Sect. A.4) can all be lifted to Lie geometry (signature (n+ 1, 2 ) ) using the methods from Chaps. 5 and 6.

AB - Möbius geometry (signature (n+ 1, 1 ), see Sect. 5.4 ), hyperbolic Laguerre geometry (signature (n, 2), see Sect. 6.2 ), elliptic Laguerre geometry (signature (n+ 1, 1 ), see Sect. 6.3 ), as well as Euclidean Laguerre geometry (signature (n, 1, 1), see Sect. A.4) can all be lifted to Lie geometry (signature (n+ 1, 2 ) ) using the methods from Chaps. 5 and 6.

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U2 - 10.1007/978-3-030-81847-0_7

DO - 10.1007/978-3-030-81847-0_7

M3 - Chapter

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BT - SpringerBriefs in Mathematics

PB - Springer Science and Business Media B.V.

ER -

Lie Geometry

Abstract

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