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Bounded geometry and leaves
Author(s) -
Álvarez López Jesús A.,
Barral Lijó Ramón
Publication year - 2017
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.201600223
Subject(s) - holonomy , mathematics , bounded function , riemannian manifold , riemannian geometry , manifold (fluid mechanics) , space (punctuation) , pure mathematics , geometry , exponential map (riemannian geometry) , mathematical analysis , topology (electrical circuits) , sectional curvature , combinatorics , scalar curvature , curvature , mechanical engineering , linguistics , philosophy , engineering
The main theorem states that any complete connected Riemannian manifold of bounded geometry can be isometrically realized as a leaf with trivial holonomy in a compact Riemannian foliated space.