Universität zu Köln

Struve, Horst and Struve, Rolf (2022). Cayley-Klein geometries and projective-metric geometry. J. Geom., 113 (2). BASEL: SPRINGER BASEL AG. ISSN 1420-8997

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Abstract

Cayley and Klein discovered in the 19th century that Euclidean and non-Euclidean geometries can be introduced as geometries living inside of a projective-metric space. We present a new definition of projective-metric coordinate planes which allows a uniform analytic representation of Cayley Klein geometries over ordered fields.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Struve, Horst UNSPECIFIED UNSPECIFIED UNSPECIFIED Struve, Rolf UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-658019
DOI:	10.1007/s00022-022-00646-2
Journal or Publication Title:	J. Geom.
Volume:	113
Number:	2
Date:	2022
Publisher:	SPRINGER BASEL AG
Place of Publication:	BASEL
ISSN:	1420-8997
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language Mathematics Multiple languages
URI:	http://kups.ub.uni-koeln.de/id/eprint/65801