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About geometrically maximal manifolds
Author(s) -
Frances Charles
Publication year - 2012
Publication title -
journal of topology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.447
H-Index - 31
eISSN - 1753-8424
pISSN - 1753-8416
DOI - 10.1112/jtopol/jts003
Subject(s) - embedding , conformal map , mathematics , pure mathematics , geometry , topology (electrical circuits) , computer science , combinatorics , artificial intelligence
In this article, we give criteria for a geometric structure to be maximal, in the sense that any geometric embedding of this structure must be onto. As an application, we provide several classes of geometrically maximal structures, especially in the realm of conformal geometry and strictly pseudoconvex CR ‐structures.