Extended Space and Spherical Geometry

Loo-keng Hua
Additional contact information
Loo-keng Hua: Academia Sinica, Institute of Applied Mathematics

Chapter Chapter 3 in Starting with the Unit Circle, 1981, pp 53-67 from Springer

Abstract: Abstract So far we have generalized from the unit disc to the unit ball. Now we shall take the whole plane (the Gaussian plane together with the point at infinity) and the Möbius group which acts on the plane and generalize the whole set-up to n-dimensional space. Our present discussion will be somewhat abstract, but the reader may draw an analogy with Chapter 1 or think of expressions of the transformations which leave the unit ball invariant in order to come to grips with this generalization.

Keywords: Unit Ball; Conformal Mapping; Spherical Geometry; Extended Space; Summation Index (search for similar items in EconPapers)
Date: 1981
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:978-1-4613-8136-5_3

Ordering information: This item can be ordered from
http://www.springer.com/9781461381365

DOI: 10.1007/978-1-4613-8136-5_3

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 ().