Open AccessHolomorphically projective mappings of (pseudo-) Kähler manifolds preserve the class of differentiability
Author(s) -
Irena Hinterleitner
Publication year - 2016
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil1611115h
Subject(s) - mathematics , smoothness , class (philosophy) , projective test , differentiable function , pure mathematics , mathematical analysis , computer science , artificial intelligence
In this paper we study fundamental equations of holomorphically projective mappings of (pseudo-) K\"ahler manifolds with respect to the smoothness class of metrics $C^r$, $r\geq1$. We show that holomorphically projective mappings preserve the smoothness class of metrics.
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