Local estimate of fundamental groups

DOI10.1016/j.aim.2019.06.006zbMath1419.53042arXiv1905.13366OpenAlexW2947900326MaRDI QIDQ2313343

Guoyi Xu

Publication date: 19 July 2019

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.13366

zbMATH Keywords

Ricci curvaturefundamental groupalmost splitting theorysqueeze lemma

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20)

Related Items

The construction of \(\epsilon\)-splitting map

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Sharp Hölder continuity of tangent cones for spaces with a lower Ricci curvature bound and applications
• Regularity of Einstein manifolds and the codimension 4 conjecture
• On the topology of complete manifolds of non-negative Ricci curvature
• Manifolds of nonpositive curvature
• On the parabolic kernel of the Schrödinger operator
• The fundamental groups of almost nonnegatively curved manifolds
• Ricci curvature and Betti numbers
• Differentiability of Lipschitz functions on metric measure spaces
• Ricci curvature and volume convergence
• On the structure of spaces with Ricci curvature bounded below. I
• On fundamental groups of manifolds of nonnegative curvature
• Elliptic partial differential equations of second order
• Nonnegative Ricci curvature, small linear diameter growth and finite generation of fundamental groups.
• Large time behavior of the heat equation on complete manifolds with non- negative Ricci curvature
• Shape of manifolds with positive Ricci curvature
• Large manifolds with positive Ricci curvature
• Lower bounds on Ricci curvature and the almost rigidity of warped products
• On uniqueness of tangent cones for Einstein manifolds
• A note on curvature and fundamental group
• The splitting theorem for manifolds of nonnegative Ricci curvature
• On the structure of complete manifolds of nonnegative curvature
• On Complete Manifolds With Nonnegative Ricci Curvature
• Differential equations on riemannian manifolds and their geometric applications
• Almost flat manifolds
• Metric structures for Riemannian and non-Riemannian spaces. Transl. from the French by Sean Michael Bates. With appendices by M. Katz, P. Pansu, and S. Semmes. Edited by J. LaFontaine and P. Pansu