On the Geometry and Topology of the Commutator of Unit Quaternions

Alcibiades Rigas () and Dan A. Agüero Cerna
Additional contact information
Alcibiades Rigas: University of Campinas, Institute of Mathematics, Statistics and Scientific Computing
Dan A. Agüero Cerna: University of Campinas, Institute of Mathematics, Statistics and Scientific Computing

A chapter in Advances in Mathematics and Applications, 2018, pp 275-299 from Springer

Abstract: Abstract This is a narrative rather than a survey of the research relevant to the subject of the title, done basically at IMECC, Unicamp, from 1982 to 2005. Many people, including students, as well as the first author, contributed. The second author compiled the material in his master’s dissertation (Cerna, On the geometry and topology of the commutator of unit quaternions. Master’s Dissertation, IMECC, Unicamp, 2016) and he is not responsible for imprecisions, for forgetting to give credit where due, etc. We consider known a little basic homotopy, like the exact sequence of a fibration, a few basic homotopy groups of spheres, and the Bott periodicity for Spin, U, and Sp, and also basic definitions of Riemannian geometry.

Keywords: Differentiably Conjugate; Euclidean Geodesics; Nonnegative Sectional Curvature; Free Involution; Principal Bundle (search for similar items in EconPapers)
Date: 2018
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:978-3-319-94015-1_12

Ordering information: This item can be ordered from
http://www.springer.com/9783319940151

DOI: 10.1007/978-3-319-94015-1_12

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 ().