Math @ Duke
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Publications [#340296] of Mark A. Stern
Papers Published
- Di Cerbo, LF; Stern, M, Price inequalities and Betti number growth on manifolds without conjugate points,
Communications in Analysis and Geometry, vol. 30 no. 2
(January, 2022),
pp. 297-334, International Press [doi]
(last updated on 2024/04/23)
Abstract: We derive Price inequalities for harmonic forms on manifolds without conjugate points and with a negative Ricci upper bound. The techniques employed in the proof work particularly well for manifolds of non-positive sectional curvature, and in this case we prove a strengthened Price inequality. We employ these inequalities to study the asymptotic behavior of the Betti numbers of coverings of Riemannian manifolds without conjugate points. Finally, we give a vanishing result for L2-Betti numbers of closed manifolds without conjugate points.
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dept@math.duke.edu
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