pith. sign in

arxiv: math/0406627 · v4 · submitted 2004-06-30 · 🧮 math.DG · hep-th

On Eta-Einstein Sasakian Geometry

Charles P. Boyer , Krzysztof Galicki , Paola Matzeu This is my paper
classification 🧮 math.DG hep-th
keywords eta-einsteingeometryexistencemanifoldssasakianstructurescalabiclass
0
0 comments X
read the original abstract

We study eta-Einstein geometry as a class of distinguished Riemannian metrics on contact metric manifolds. In particular, we use a previous solution of the Calabi problem for Sasakian geometry to prove the existence of eta-Einstein structures on many different compact manifolds, including exotic spheres. We also relate these results to the existence of Einstein-Weyl structures.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Charged and rotating near-horizon geometries in five dimensions

    hep-th 2026-06 conditional novelty 7.0

    New analytic charged rotating near-horizon geometries in 5D Einstein-Maxwell are constructed and shown to be the most general extremal rotating horizons with constant co-rotating electric field under Sasakian structure.