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Received October 30, 2019; Accepted July 2, 2020; Published July 14, 2020
Abstract. In this paper, we derive the evolution equations for the first eigenvalue of operator acting on the space of functions on a closed Riemannian manifold along the Ricci flow. We prove that the first nonzero eigenvalue is nondecreasing under the Ricci flow under certain geometric conditions.
How to Cite this Article:
Shahroud Azami, The first eigenvalue of along the Ricci flow, Journal of Nonlinear Functional Analysis, Vol. 2020 (2020), Article ID 30, pp. 1-14.