HyperKähler Potentials in Cohomogeneity Two

Details HyperKähler Potentials in Cohomogeneity Two HyperKähler Potentials in Cohomogeneity Two

2000-01-05

arxiv.org/abs/math/0001024v1

Mathematics

Differential Geometry

21 pages, LaTeX with AMS macros

Scientific paper

A hyperK\"ahler potential is a function rho that is a K\"ahler potential for each complex structure compatible with the hyperK\"ahler structure. Nilpotent orbits in a complex simple Lie algebra are known to carry hyperK\"ahler metrics admitting such potentials. In this paper, we explicitly calculate the hyperK\"ahler potential when the orbit is of cohomogeneity two. In some cases, we find that this structure lies in a one-parameter family of hyperK\"ahler metrics with K\"ahler potentials, generalising the Eguchi-Hanson metrics in dimension four.

Affiliated with

Also associated with

No associations

Rating

HyperKähler Potentials in Cohomogeneity Two 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 HyperKähler Potentials in Cohomogeneity Two, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and HyperKähler Potentials in Cohomogeneity Two will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-90423