Lie Groups

Gerardo F. Torres del Castillo ()
Additional contact information
Gerardo F. Torres del Castillo: Benemérita Universidad Autónoma de Puebla, Instituto de Ciencias

Chapter Chapter 7 in Differentiable Manifolds, 2020, pp 203-255 from Springer

Abstract: Abstract In many applications one encounters groups of transformations which contain one or several parameters, and on these groups we can define a structure of differentiable manifold. Two examples are the isometries of a Riemannian manifold and the symmetries of a second-order ODE, considered in Sects. 6.1 and 4.3 , respectively. In this chapter we shall study these groups by themselves, combining their algebraic and differentiable structures. One of the main results of this combination is the fact that each of these groups has an associated Lie algebra which almost entirely determines the group.

Date: 2020
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:978-3-030-45193-6_7

Ordering information: This item can be ordered from
http://www.springer.com/9783030451936

DOI: 10.1007/978-3-030-45193-6_7

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 ().