# 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

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