tag:blogger.com,1999:blog-5950074794465831898.post1141641082000955439..comments2024-06-26T01:10:53.649-07:00Comments on Nested Tori: Clifford ToriChrishttp://www.blogger.com/profile/18171898639160337398noreply@blogger.comBlogger1125tag:blogger.com,1999:blog-5950074794465831898.post-23410594928343914222021-11-14T12:23:55.163-08:002021-11-14T12:23:55.163-08:00Hi Chris, thanks for the interesting overview. So ...Hi Chris, thanks for the interesting overview. So we can write the line element on S^3 as ds^2 = (1-r^2/l^2) d\tau^2 + (1-r^2/l^2)^{-1} dr^2 + r^2 d\phi^2 - this is basically the metric on the static patch of de Sitter space analytically continued to Euclidean signature. The surfaces of constant r in these coordinates are tori where the circles are parameterized by \phi and \tau (which is also a periodic coordinate). Are these tori Clifford tori??abxyzhttps://www.blogger.com/profile/14164754903221703936noreply@blogger.com