Holomorphically Projective Mappings of (Pseudo-) Kähler Manifolds Preserve the Class of Differentiability


Irena Hinterleitner




In this paper we study fundamental equations of holomorphically projective mappings of (pseudo-) Kähler 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.