$L^2$-estimates on Flat Vector Bundles and Prékopa’s Theorem

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发表日期：

2025年9月16日

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Gang Huang,
Weiwen Jiang,
Xiangsen Qin

摘要

In this paper, we will construct Hörmander’s $L^2$ $L^{2}$ -estimate of the operator d on a flat vector bundle over a p-convex Riemannian manifold and discuss some geometric applications of it. In particular, we will generalize the classical Prékopa’s theorem in convex analysis.

\(L^2\)-estimates on Flat Vector Bundles and Prékopa’s Theorem

摘要