This article is cited in 4 papers

$P$-geodesic transformations induced by infinitesimal holomorphically projective transformations of Kähler manifolds

K. M. Zubrilin

Chair of Higher Mathematics, Feodosiya Polytechnical Institute of National University of Shipbuilding, Feodosiya, Crimea, Ukraine

Abstract: In this paper we study the flattening properties of infinitesimal transformations of a tangent bundle, generated by lifts of vector fields which produce infinitesimal holomorphically projective transformations of Kähler manifolds.

Keywords: flattening, order of flattening, $p$-geodesic curve, $p$-geodesic map, $p$-geodesic infinitesimal transformation.

UDC: 514.764

Received: 27.09.2011

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2012, 56:11, 31–44

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