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• W2970668859 abstract "We show that manifolds with $$ lceil frac{n}{2} rceil $$ -positive curvature operators are rational homology spheres. This follows from a more general vanishing and estimation theorem for the pth Betti number of closed n-dimensional Riemannian manifolds with a lower bound on the average of the lowest $$n-p$$ eigenvalues of the curvature operator. This generalizes results due to D. Meyer, Gallot–Meyer, and Gallot." @default.
• W2970668859 created "2019-09-05" @default.
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• W2970668859 date "2020-09-17" @default.
• W2970668859 modified "2023-09-25" @default.
• W2970668859 title "New curvature conditions for the Bochner Technique" @default.
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• W2970668859 doi "https://doi.org/10.1007/s00222-020-01003-3" @default.
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