[Cos-top] half-turn space analysis; new spherical 3-manifolds ?

[Boud Roukema]

hi cosmic topologists,

Today we have *two* cosmic topology articles on arXiv on the same day!

(1) http://arxiv.org/abs/1009.5880
Cosmic microwave anisotropies in an inhomogeneous compact flat universe
Authors: R. Aurich, S. Lustig

This shows that the half-turn space E_2 also seems to provide a nice
fit, at least with the S_60deg statistic, to the WMAP 7yr data, and it
even seems to be a bit better than T^3.


(2) http://arxiv.org/abs/1009.5825
Multipole analysis in cosmic topology
Authors: Peter Kramer

This seems to claim that the author has found 3 new spherical
3-manifolds, "N8, N9, N10". It's not clear to me if he claims that
they can be given constant curvature, but maybe it's obvious to
someone who knows the mathematics a bit better.  i had thought that
the constant curvature spherical 3-manifolds were already completely
classified.

Are N8, N9, and N10 new constant-curvature spherical 3-manifolds, in
addition to those in Gausmann et al. 2001 http://arxiv.org/abs/gr-qc/0106033 ?

cheers
boud