Sharp Spectral Gaps on Metric Measure Spaces

Hui-Chun Zhang; Yin Jiang

arxiv: 1503.00203 · v1 · pith:RTWTD4XTnew · submitted 2015-03-01 · 🧮 math.DG · math.MG

Sharp Spectral Gaps on Metric Measure Spaces

Yin Jiang , Hui-Chun Zhang This is my paper

classification 🧮 math.DG math.MG

keywords measuremetricsharpspacesandrews-clutterbuckbakry-qianboundschen-

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In this paper, we extend the sharp lower bounds of spectal gap, due to Chen- Wang [10, 11], Bakry-Qian [6] and Andrews-Clutterbuck [5], from smooth Riemaniannian manifolds to general metric measure spaces with Riemannian curvature-dimension condition RCD*(K;N).

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Sharp Spectral Gaps on Metric Measure Spaces

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