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Some Non‐Homeomorphic Harmonic Homotopy Equivalences
Author(s) -
Farrell F. T.,
Jones L. E.
Publication year - 1996
Publication title -
bulletin of the london mathematical society
Language(s) - Uncategorized
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/blms/28.2.177
Subject(s) - mathematics , homotopy , pure mathematics , manifold (fluid mechanics) , dimension (graph theory) , harmonic , curvature , topology (electrical circuits) , mathematical analysis , combinatorics , geometry , physics , mechanical engineering , quantum mechanics , engineering
For every dimension ⩾11, we show the existence of non‐homeomorphic harmonic homotopy equivalences, where the target manifold has negative curvature.