Compact Connected Lie Transformation Groups on Spheres with Low Cohomogeneity, I: Issue 1
Eldar Straume
Jan 1996 · American Mathematical Soc.
Ebook
93
Pages
reportRatings and reviews aren’t verified Learn More
About this ebook
In the study of Lie transformation groups on classical space forms, one of the most exciting features is the existence of nonlinear or ``exotic'' actions. Among the many unsolved problems, the classification of G-spheres with 2-dimensional orbit space has a prominent place. The main purpose of this monograph is to describe the beginnings of a program to the complete solution of this problem. One major feature of the author's approach is the effectiveness of the geometric weight system, which was introduced by Wu-Yi Hsiang around 1970, as a book-keeping method for orbit structural data. Features: Complete tables of compact connected linear groups of cohomogeneity $3$. Geometric weight systems techniques. Complete classification of G-spheres of cohomogeneity one. Weight classification of G-spheres of cohomogeneity two, the crucial step of the complete classification for cohomogeneity two.
Rate this ebook
Tell us what you think.
Reading information
Smartphones and tablets
Install the Google Play Books app for Android and iPad/iPhone. It syncs automatically with your account and allows you to read online or offline wherever you are.
Laptops and computers
You can listen to audiobooks purchased on Google Play using your computer's web browser.
eReaders and other devices
To read on e-ink devices like Kobo eReaders, you'll need to download a file and transfer it to your device. Follow the detailed Help Center instructions to transfer the files to supported eReaders.
