Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4606679 | Differential Geometry and its Applications | 2006 | 17 Pages |
Abstract
We consider the equivariant Yamabe problem, i.e., the Yamabe problem on the space of G-invariant metrics for a compact Lie group G. The G-Yamabe invariant is analogously defined as the supremum of the constant scalar curvatures of unit volume G-invariant metrics minimizing the total scalar curvature functional in their G-invariant conformal subclasses. We prove a formula about how the G-Yamabe invariant changes under the surgery of codimension 3 or more, and compute some G-Yamabe invariants.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Chanyoung Sung,