Non-euclidean and Projective Geometries

Garret Sobczyk
Additional contact information
Garret Sobczyk: Universidad de Las Américas, Departamento de Física y Matemáticas

Chapter Chapter 17 in New Foundations in Mathematics, 2013, pp 297-327 from Springer

Abstract: Abstract We investigate the relationship between conformal transformations in $${\mathbb{R}}^{p,q}$$ , studied in the previous chapter, and orthogonal transformations acting on the horosphere in $${\mathbb{R}}^{p+1,q+1}$$ . The horosphere is a nonlinear model of a pseudo-Euclidean space in a pseudo-Euclidean space of two dimensions higher.

Keywords: Projective Geometry; Horosphere; pseudo-Euclidean Space; Conformal Transformation; Nonsingular Linear Transformation (search for similar items in EconPapers)
Date: 2013
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-0-8176-8385-6_17

Ordering information: This item can be ordered from
http://www.springer.com/9780817683856

DOI: 10.1007/978-0-8176-8385-6_17

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().