RT @mathSPb: Nelia Charalambous, Zhiqin Lu, Julie Rowlett: Eigenvalue Estimates on Bakry-Emery Manifolds https://t.co/NW4fH6Dkv0 https://t.…
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RT @mathSPb: Nelia Charalambous, Zhiqin Lu, Julie Rowlett: Eigenvalue Estimates on Bakry-Emery Manifolds https://t.co/NW4fH6Dkv0 https://t.…
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Riemannian setting to be directly applied to the Bakry-Emery setting. Lower bounds for all eigenvalues are demonstrated using heat kernel estimates and a suitable Sobolev inequality. [2/2 of https://t.co/hUhnz8Wv55]
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We demonstrate lower bounds for the eigenvalues of compact Bakry-Emery manifolds with and without boundary. The lower bounds for the first eigenvalue rely on a generalised maximum principle which allows gradient estimates in the [1/2 of https://t.co/hUhnz8