Eigenvalues of Witten-Laplacian on the cigar metric measure spaces
Eigenvalues of Witten-Laplacian on the cigar metric measure spaces
复制标题
雪茄度量测度空间上的维滕-拉普拉斯特征值
DOI：
10.1007/s13324-020-00473-1
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发表时间：
2021-01
影响因子：
1.7
通讯作者：
Zhu Huihui
中科院分区：
文献类型：
--
作者：
Zeng Lingzhong;Zhu Huihui
We assume thatis ann-dimensional cigar metric measure space (CMMS for short) endowed with cigar metric and certain smooth potential on. When the dimension is two, it is a cigar soliton, which can be viewed as Euclidean-Witten black hole under the first-order Ricci flow of the world-sheet sigma model in general relative theory. Thus, the CMMS is of great significant in both geometry and physics. In this paper, we investigate the eigenvalue problem with Dirichlet boundary condition for the Witten-Laplacian on CMMSand establish some intrinsic formulas by applying some auxiliary lemmas to replace the corresponding extrinsic formulas due to Chen and Cheng. Combining with a general formula given by the first author and Sun, we establish an inequality for the eigenvalues with lower order. As further interesting applications, we obtain several eigenvalue inequalities of Payne–Pólya–Weinberger type in low-dimensional topology.
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影响因子：
0.6
作者：
He-Jun Sun
通讯作者：
He-Jun Sun
DOI：
10.1103/physrevd.44.314
发表时间：
1991-07
期刊：
Physical review. D, Particles and fields
影响因子：
--
作者：
E. Witten
通讯作者：
E. Witten
雪茄孤子上双向漂移拉普拉斯算子特征值的估计
影响因子：
1.5
作者：
Li Xinyang;Xiong Xin;Zeng Lingzhong
通讯作者：
Zeng Lingzhong
影响因子：
1.7
作者：
M. Levitin;L. Parnovski
通讯作者：
M. Levitin;L. Parnovski
影响因子：
1.4
作者：
Lingzhong Zeng
通讯作者：
Lingzhong Zeng