The behavior of the eigenvalues of a geometric operator closely related to the Laplacian under Ricci flow is investigated. These depend on a coupling parameter in the operator as well as an evolution parameter which gives a flow on a compact manifold of finite dimension. The main objective is to study the monotonicity properties of the eigenvalues.
Bracken, Paul. "Evolution of eigenvalues of a geometric operator under Ricci flow on a Riemannian manifold." Journal of Mathematical Analysis and Applications 509.2 (2022): 125990. https://doi.org/10.1016/j.jmaa.2022.125990
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Journal of Mathematical Analysis and Applications
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