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 …
H Chen, X Gui - Israel Journal of Mathematics, 2025 - Springer
Let M be an m (≥ 2)-dimensional closed orientable submanifold in an n-dimensional complete simply-connected Riemannian manifold N, where the sectional curvature of N is …