Obstruction to Positive Curvature on Homogeneous Bundles

@article{Tapp2005ObstructionTP,
  title={Obstruction to Positive Curvature on Homogeneous Bundles},
  author={Kristopher Tapp},
  journal={Geometriae Dedicata},
  year={2005},
  volume={119},
  pages={105-112}
}
Examples of almost-positively and quasi-positively curved spaces of the form M = H\((G, h) × F) were discovered recently [J. Differential Geom. 65:273–287, 2003; Invent. Math. 148:117–141, 2002]. Here h is a left-invariant metric on a compact Lie group G, F is a compact Riemannian manifold on which the subgroup $$H\subset G$$ acts isometrically on the left, and M is the orbit space of the diagonal left action of H on (G, h) × F with the induced Riemannian submersion metric. We prove that no new… Expand

References

SHOWING 1-10 OF 11 REFERENCES
Inhomogeneous spaces of positive curvature
Quasi-Positive Curvature on Homogeneous Bundles
Fat bundles and symplectic manifolds
Group-quotients with positive sectional curvatures
Manifolds with positive sectional curvature almost everywhere
Fatness revisited, lecture notes
  • University of Pennsylvania,
  • 1999
Curvature increasing metric variations
...
1
2
...