Moduli of Einstein and non-Einstein nilradicals

Details Moduli of Einstein and non-Einstein nilradicals Moduli of Einstein and non-Einstein nilradicals

2009-02-10

arxiv.org/abs/0902.1698v1

Mathematics

Differential Geometry

18 pages, 2 figures

Scientific paper

In this note we are concerned with the distribution of Einstein and non-Einstein nilradicals among all nilpotent Lie groups. A nilpotent Lie group is called an Einstein, resp. non-Einstein, nilradical if it is a nilpotent Lie group which does, resp. does not, admit a left-invariant Ricci soliton metric. Using techniques from Geometric Invariant Theory, we construct many new (continuous) families of both kinds of nilpotent Lie groups. Moreover, it is shown by example that there exist families of non-Einstein nilradicals of arbitrarily large dimension; the dimension of these families of Lie groups depends only on the dimension of the underlying Lie groups. In this work our attention is focused on the class of two-step nilpotent Lie groups.

Affiliated with

Also associated with

No associations

Rating

Moduli of Einstein and non-Einstein nilradicals does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Moduli of Einstein and non-Einstein nilradicals, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Moduli of Einstein and non-Einstein nilradicals will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-20381