\(p\)-geodesic transformations induced by infinitesimal holomorphically projective transformations of Kähler spaces
type: Item
instance of: scholarly article
title: \(p\)-geodesic transformations induced by infinitesimal holomorphically projective transformations of Kähler spaces
zbMATH Open document ID: 1263.53069
DOI: 10.3103/S1066369X12110035
author: K. M. Zubrilin
published in: Russian Mathematics
publication date: 2013-03-22T00:00:00Z
review text: A curve \({\mathcal C}\) in an affinely connected space \((M,\nabla)\) is called an \(m\)-geodesic if it has \(m\)-th order flattening at each of its point, i.e., the first \(m\) covariant derivatives of its tangent vector are linearly independent in every point. A diffeomorphism between two affinely connected spaces is called \(r\)-geodesic if it sends all geodesics of the first space into curves whose points have flattening order no greater than \(r\). The author studies the flattening properties of the infinitesimal transformations of the ( first and second order) tangent bundles of a Kähler manifold, generated by (vertical or complete) lifts of vector fields associated to infinitesimal holomorphically projective transformations.
reviewed by: Gabriel Teodor Pripoae
Mathematics Subject Classification ID: 53C55
Mathematics Subject Classification ID: 53B10
Mathematics Subject Classification ID: 53B35
zbMATH DE Number: 6148263
zbMATH Keywords: flattening
zbMATH Keywords: order of flattening
zbMATH Keywords: \(p\)-geodesic
zbMATH Keywords: \(p\)-geodesic mapping
zbMATH Keywords: \(p\)-geodesic infinitesimal transformation
zbMATH Keywords: Kähler manifolds
zbMATH Keywords: infinitesimal holomorphically projective transformations
zbMATH Keywords: lifts of vector fields
MaRDI profile type: Publication
Wikidata QID: Q125936666
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description: scientific article; zbMATH DE number 6148263