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math.AP2023
Generalized parabolic frequency on compact manifolds
Abimbola Abolarinwa, Shahroud Azami
In this paper, we first prove monotonicity of a generalized para bolic frequency on weighted closed Riemannian manifolds for some linear heat equation. Secondly, a certain generali…
math.AP2023
Parabolic frequency monotonicity on the conformal Ricci flow
Abimbola Abolarinwa, Shahroud Azami
This paper is devoted to the investigation of the monotonicity of parabolic frequency functional under conformal Ricci flow defined on a closed Riemannian manifold of constant scal…
math.DG2023
Conformal bounds for the first eigenvalue of the -Laplacian system
Mohammad Javad Habibi Vosta Kolaei, Shahroud Azami
Consider as an -dimensional compact connected Riemannian manifold without boundary. In this paper, we investigate the first eigenvalue of the $\le…