Surgery and equivariant Yamabe invariant
微分几何
2007-05-23 v2
摘要
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.
引用
@article{arxiv.math/0604387,
title = {Surgery and equivariant Yamabe invariant},
author = {Chanyoung Sung},
journal= {arXiv preprint arXiv:math/0604387},
year = {2007}
}