2022
DOI: 10.3390/math10234614
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Evolution for First Eigenvalue of LT,f on an Evolving Riemannian Manifold

Abstract: In this paper, evolution formulas for the first non-zero eigenvalue of the operator LT,f on a weighted closed Riemannian manifold along the Ricci flow as well as along the Yamabe flow are formulated. Some monotonic quantities are also derived for the normalized Ricci flow on Bianchi classes.

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Cited by 2 publications
(1 citation statement)
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“…is Wanas operator (see [7][8][9]) and T n b is the operator W n q introduced in [10]. The study of operators on very different classes of functions to remark their properties is always an updating problem, as we can see in the works [11][12][13][14][15][16].…”
Section: Definition 1 ([1] (P 4))mentioning
confidence: 99%
“…is Wanas operator (see [7][8][9]) and T n b is the operator W n q introduced in [10]. The study of operators on very different classes of functions to remark their properties is always an updating problem, as we can see in the works [11][12][13][14][15][16].…”
Section: Definition 1 ([1] (P 4))mentioning
confidence: 99%