嵌入超曲面上漂移拉普拉斯算子第一特征值的估计

IF 0.6 4区数学 Q3 MATHEMATICS

Hokkaido Mathematical Journal Pub Date : 2018-10-01 DOI:10.14492/HOKMJ/1537948834

Jing Mao, N. Xiang

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引用次数: 0

摘要

摘要对于嵌入n维紧致可定向黎曼流形n中的（n-1）维紧致可取向光滑度量测度空间“M，g，e−f dvǵ”，我们成功地给出了M上漂移拉普拉斯算子的第一个非零特征值的下界，假设N的Ricci曲率由正常数从下界，并且M上的加权函数f满足两个约束。

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Estimates for the first eigenvalue of the drifting Laplacian on embedded hypersurfaces

Abstract. For an (n − 1)-dimensional compact orientable smooth metric measure space ` M, g, e−f dvg ́ embedded in an n-dimensional compact orientable Riemannian manifold N , we successfully give a lower bound for the first nonzero eigenvalue of the drifting Laplacian on M , provided the Ricci curvature of N is bounded from below by a positive constant and the weighted function f on M satisfies two constraints.

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来源期刊

Hokkaido Mathematical Journal MATHEMATICS-

CiteScore

1.00

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The main purpose of Hokkaido Mathematical Journal is to promote research activities in pure and applied mathematics by publishing original research papers. Selection for publication is on the basis of reports from specialist referees commissioned by the editors.