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Bounds for the First Eigenvalue of \((-\varDelta -R)\) Under the Ricci Flow on Bianchi Classes

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Abstract

In this paper, we analyse behavior of the first eigenvalue of the operator \(-\varDelta -R\) on locally homogeneous closed 3-manifolds along the normalized Ricci flow, moreover in each Bianchi class we find bounds for the corresponding eigenvalues.

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Correspondence to Asadollah Razavi.

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Korouki, F., Razavi, A. Bounds for the First Eigenvalue of \((-\varDelta -R)\) Under the Ricci Flow on Bianchi Classes. Bull Braz Math Soc, New Series 51, 641–651 (2020). https://doi.org/10.1007/s00574-019-00167-8

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  • DOI: https://doi.org/10.1007/s00574-019-00167-8

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