Comparison geometry for the Bakry-Emery Ricci tensor
For Riemannian manifolds with a measure (M, g, e− f dvolg) we prove mean curvature and
volume comparison results when the∞-Bakry-Emery Ricci tensor is bounded from below …
volume comparison results when the∞-Bakry-Emery Ricci tensor is bounded from below …
On the universal cover and the fundamental group of an RCD*(K,N)-space
The main goal of the paper is to prove the existence of the universal cover for 𝖱𝖢𝖣*(K, N)-
spaces. This generalizes earlier work of [,] on the existence of universal covers for Ricci limit …
spaces. This generalizes earlier work of [,] on the existence of universal covers for Ricci limit …
Fundamental groups and the Milnor conjecture
It was conjectured by Milnor in 1968 that the fundamental group of a complete manifold with
nonnegative Ricci curvature is finitely generated. The main result of this paper is a …
nonnegative Ricci curvature is finitely generated. The main result of this paper is a …
Complete manifolds with non-negative Ricci curvature and the Caffarelli–Kohn–Nirenberg inequalities
MP Do Carmo, C Xia - Compositio Mathematica, 2004 - cambridge.org
Complete manifolds with non-negative Ricci curvature and the Caffarelli–Kohn–Nirenberg
inequalities Page 1 Compositio Math. 140 (2004) 818–826 DOI: 10.1112/S0010437X03000745 …
inequalities Page 1 Compositio Math. 140 (2004) 818–826 DOI: 10.1112/S0010437X03000745 …
Isoperimetric problem and structure at infinity on Alexandrov spaces with nonnegative curvature
G Antonelli, M Pozzetta - arXiv preprint arXiv:2302.10091, 2023 - arxiv.org
In this paper we consider nonnegatively curved finite dimensional Alexandrov spaces such
that unit balls have volumes uniformly bounded from below away from zero. We study the …
that unit balls have volumes uniformly bounded from below away from zero. We study the …
Universal covers for Hausdorff limits of noncompact spaces
UNIVERSAL COVERS FOR HAUSDORFF LIMITS OF NONCOMPACT SPACES 1. Introduction
One of the main trends in Riemannian geometry today i Page 1 TRANSACTIONS OF THE …
One of the main trends in Riemannian geometry today i Page 1 TRANSACTIONS OF THE …
Semi-local simple connectedness of non-collapsing Ricci limit spaces.
Semi-local simple connectedness of non-collapsing Ricci limit spaces Page 1 © 2022 European
Mathematical Society Published by EMS Press and licensed under a CC BY 4.0 license J. Eur …
Mathematical Society Published by EMS Press and licensed under a CC BY 4.0 license J. Eur …
The Caffarelli-Kohn-Nirenberg inequalities on complete manifolds
C Xia - Mathematical Research Letters, 2007 - intlpress.com
We find a new sharp Caffarelli-Kohn-Nirenberg inequality and show that the Euclidean
spaces are the only complete non-compact Riemannian manifolds of non-negative Ricci …
spaces are the only complete non-compact Riemannian manifolds of non-negative Ricci …
[PDF][PDF] Manifolds with a lower Ricci curvature bound
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 …
2006 Manifolds with A Lower Ricci Curvature Bound Guofang Wei ∗ Abstract This paper is a …
The Gagliardo–Nirenberg inequalities and manifolds of non-negative Ricci curvature
C Xia - Journal of Functional Analysis, 2005 - Elsevier
The Gagliardo–Nirenberg inequalities and manifolds of non-negative Ricci curvature Page 1
Journal of Functional Analysis 224 (2005) 230–241 www.elsevier.com/locate/jfa The …
Journal of Functional Analysis 224 (2005) 230–241 www.elsevier.com/locate/jfa The …