On the Fundamental Group of Manifolds of Non-positive Curvature | Zendy

Shing Tung Yau | Zendy

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On 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

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.

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