Geodesic
On holomorphically projective mappings from manifolds with equiaffine connection onto Kähler manifolds
Archivum mathematicum, Tome 49 (2013) no. 5, pp. 295-302

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In this paper we study fundamental equations of holomorphically projective mappings from manifolds with equiaffine connection onto (pseudo-) Kähler manifolds with respect to the smoothness class of connection and metrics. We show that holomorphically projective mappings preserve the smoothness class of connections and metrics.
DOI : 10.5817/AM2013-5-295
Classification : 32Q15, 53B20, 53B21, 53B30, 53B35, 53C26
Keywords: holomorphically projective mapping; smoothness class; Kähler manifold; manifold with affine connection; fundamental equation 
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     author = {Hinterleitner, Irena and Mike\v{s}, Josef},
     title = {On holomorphically projective mappings from manifolds with equiaffine connection onto {K\"ahler} manifolds},
     journal = {Archivum mathematicum},
     pages = {295--302},
     publisher = {mathdoc},
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     language = {en},
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Hinterleitner, Irena; Mikeš, Josef. On holomorphically projective mappings from manifolds with equiaffine connection onto Kähler manifolds. Archivum mathematicum, Tome 49 (2013) no. 5, pp. 295-302. doi: 10.5817/AM2013-5-295

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