Open AccessOn the Fundamental Group of Manifolds of Non-positive Curvature
Author(s) -
Shing Tung Yau
Publication year - 1970
Publication title -
proceedings of the national academy of sciences of the united states of america
Language(s) - English
Resource type - Journals
eISSN - 1091-6490
pISSN - 0027-8424
DOI - 10.1073/pnas.67.2.509
Subject(s) - mathematics , group (periodic table) , conjecture , curvature , differential geometry , pure mathematics , manifold (fluid mechanics) , fundamental group , sectional curvature , differential (mechanical device) , ricci curvature , riemannian manifold , scalar curvature , mathematical analysis , geometry , physics , quantum mechanics , mechanical engineering , engineering , thermodynamics
We prove theorems on the structure of the fundamental group of a compact riemannian manifold of non-positive curvature. In particular, a conjecture of J. Wolf [J. Differential Geometry , 2, 421-446 (1968)] is proved.