Open AccessOn complexifications of real manifolds
Author(s) -
Rohan Kulkarni
Publication year - 1975
Publication title -
proceedings of the national academy of sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 5.011
H-Index - 771
eISSN - 1091-6490
pISSN - 0027-8424
DOI - 10.1073/pnas.72.11.4210
Subject(s) - differentiable function , algebraic number , manifold (fluid mechanics) , mathematics , pure mathematics , algebraic geometry and analytic geometry , algebra over a field , mathematical analysis , differential equation , engineering , mechanical engineering , differential algebraic equation , ordinary differential equation
This paper studies the problem of obtaining complexifications of a differentiable manifold which have desirable analytic or algebraic properties and which are minimal in the sense described below. It is seen that there is a significant difference between analytic and algebraic complexifications.
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