G Wei - arXiv preprint math/0612107, 2006 - arxiv.org
arXiv:math/0612107v1 [math.DG] 4 Dec 2006 Page 1 arXiv:math/0612107v1 [math.DG] 4 Dec 2006 Manifolds with A Lower Ricci Curvature Bound Guofang Wei ∗ Abstract This paper is a …
JY Wu - The Journal of Geometric Analysis, 2019 - Springer
We prove mean curvature and volume comparison estimates on smooth metric measure spaces when their integral Bakry–Émery Ricci tensor bounds, extending Wei–Wylie's …
C Ketterer - Journal of Functional Analysis, 2021 - Elsevier
In this article we study stability and compactness wrt measured Gromov-Hausdorff convergence of smooth metric measure spaces with integral Ricci curvature bounds. More …
In this paper, we prove a reverse Hölder inequality for the eigenfunction of the Dirichlet problem on domains of a compact Riemannian manifold with the integral Ricci curvature …
H Tadano - Results in Mathematics, 2024 - Springer
Inspired by a recent work due to J.-Y. Wu (Potential Anal 58: 203–223, 2023), we prove several new compactness criteria for complete Riemannian manifolds via integral radial m …
A Ricci curvature bound is weaker than a sectional curvature bound but stronger than a scalar curvature bound. Ricci curvature is also special that it occurs in the Einstein equation …
Y Ma, B Wang - Transactions of the American Mathematical Society …, 2023 - ams.org
Consider a Riemannian manifold $(M^{m}, g) $ whose volume is the same as the standard sphere $(S^{m}, g_ {round}) $. If $ p\!>\!\frac {m}{2} $ and $\int _ {M}\!\left\{Rc\!-\!(m\!-\! 1) …
F Li, JY Wu, Y Zheng - Results in Mathematics, 2021 - Springer
In this paper we first discuss weighted mean curvature and volume comparisons on smooth metric measure space (M, g, e^-f dv)(M, g, e-fdv) under the integral Bakry–Émery Ricci …
X Cao - arXiv preprint arXiv:2210.14024, 2022 - arxiv.org
In this paper, we will use the normalized intetral Ricci curvature to investigate Liouville type property of $ p $ harmonic function on Riemannian manifold. secondly, we will use the BiRic …