The Einstein-Maxwell Equations, Extremal Kahler Metrics, and Seiberg-Witten Theory

Details The Einstein-Maxwell Equations, Extremal Kahler Metrics, and Seiberg-Witten Theory The Einstein-Maxwell Equations, Extremal Kahler Metrics, and Seiberg-Witten Theory

2008-03-26

arxiv.org/abs/0803.3734v2

Mathematics

Differential Geometry

21 pages, LaTeX2e. To appear in "The Many Facets of Geometry: a Tribute to Nigel Hitchin." Final version includes two new resu

Scientific paper

The Einstein-Maxwell equations on a smooth compact 4-manifold are reformulated as a purely Riemannian variational problem analogous to Calabi's variational problem for extremal Kahler metrics. Next, Seiberg-Witten theory is used to show that these two problems are in fact intimately related. Extremal Kahler metrics are then used to probe the limits of Seiberg-Witten curvature estimates. The article then concludes with a brief survey of some recent results on extremal Kahler metrics.

Affiliated with

Also associated with

No associations

Rating

The Einstein-Maxwell Equations, Extremal Kahler Metrics, and Seiberg-Witten Theory 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 The Einstein-Maxwell Equations, Extremal Kahler Metrics, and Seiberg-Witten Theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Einstein-Maxwell Equations, Extremal Kahler Metrics, and Seiberg-Witten Theory will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-50004