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A direct approach to quaternionic manifolds
Author(s) -
Gentili Graziano,
Gori Anna,
Sarfatti Giulia
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.201500489
Subject(s) - mathematics , quaternionic representation , manifold (fluid mechanics) , affine transformation , pure mathematics , space (punctuation) , function (biology) , quaternion , mathematical analysis , algebra over a field , geometry , computer science , mechanical engineering , evolutionary biology , engineering , irreducible representation , real representation , biology , operating system
The recent definition of slice regular function of several quaternionic variables suggests a new notion of quaternionic manifold. We give the definition of quaternionic regular manifold, as a space locally modeled on H n , in a slice regular sense. We exhibit some significant classes of examples, including manifolds which carry a quaternionic affine structure.