On the global theory of projective mappings
type: Item
instance of: scholarly article
title: On the global theory of projective mappings
zbMATH Open document ID: 0855.53023
DOI: 10.1007/BF02306184
published in: Mathematical Notes
publication date: 1997-02-03T00:00:00Z
review text: The author considers projective mappings of compact oriented Riemannian manifolds \(M\to N\) from the global point of view. The manifolds \(M\) and \(N\) have unequal dimensions and the mappings are of arbitrary rank. It can be proved that such mappings are affine with additional conditions on the sectional curvature and the Ricci curvature of \(M\). Remark: The results of \S 6 follow from the reviewer's paper [Math. Publ. (Opava), 1, 143-149 (1993)].
reviewed by: Josef Mikeš
Mathematics Subject Classification ID: 53C20
Mathematics Subject Classification ID: 53A20
zbMATH DE Number: 898914
zbMATH Keywords: Riemannian geometry
zbMATH Keywords: geodesic mappings
zbMATH Keywords: holomorphically projective mappings
zbMATH Keywords: approximation
author: Sergey E. Stepanov
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 898914