期刊论文详细信息
AIMS Mathematics | |
Monotonicity of eigenvalues of Witten-Laplace operator along the Ricci-Bourguignon flow | |
Shahroud Azami1  | |
关键词: : Eigenvalue; Laplace; Ricci-Bourguignon flow; Riemannian manifold; Eigenvector; | |
DOI : 10.3934/Math.2017.2.230 | |
学科分类:数学(综合) | |
来源: AIMS Press | |
【 摘 要 】
In this article we will investigate monotonicity for the first eigenvalue problem of the Witten-Laplace operator acting on the space of functions along the Ricci-Bourguignon flow on closed manifolds. We find the first variation formula for the eigenvalues of Witten-Laplacian on a closed manifold evolving by the Ricci-Bourguignoni flow and construct various monotonic quantities. At the end we find some applications in 2-dimensional and 3-dimensional manifolds and give an example.
【 授权许可】
CC BY
【 预 览 】
Files | Size | Format | View |
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RO201901214916364ZK.pdf | 214KB | download |