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Equitorsion holomorphically projective mappings of generalized Kählerian space of the first kind

Mića S. Stanković, Milan Lj. Zlatanović, Ljubica S. Velimirović (2010)

Czechoslovak Mathematical Journal

In this paper we define generalized Kählerian spaces of the first kind ( G K 1 N ) given by (2.1)–(2.3). For them we consider hollomorphically projective mappings with invariant complex structure. Also, we consider equitorsion geodesic mapping between these two spaces ( G K 1 N and G K ¯ 1 N ) and for them we find invariant geometric objects.

Equivalence problem for minimal rational curves with isotrivial varieties of minimal rational tangents

Jun-Muk Hwang (2010)

Annales scientifiques de l'École Normale Supérieure

We formulate the equivalence problem, in the sense of É. Cartan, for families of minimal rational curves on uniruled projective manifolds. An important invariant of this equivalence problem is the variety of minimal rational tangents. We study the case when varieties of minimal rational tangents at general points form an isotrivial family. The main question in this case is for which projective variety Z , a family of minimal rational curves with Z -isotrivial varieties of minimal rational tangents...

Essential Killing fields of parabolic geometries: projective and conformal structures

Andreas Čap, Karin Melnick (2013)

Open Mathematics

We use the general theory developed in our article [Čap A., Melnick K., Essential Killing fields of parabolic geometries, Indiana Univ. Math. J. (in press)], in the setting of parabolic geometries to reprove known results on special infinitesimal automorphisms of projective and conformal geometries.

Examples of nonsemisymmetric Ricci-semisymmetric hypersurfaces

Ryszard Deszcz, Malgorzata Głogowska (2002)

Colloquium Mathematicae

We construct a class of nonsemisymmetric Ricci-semisymmetric warped products. Some manifolds of this class can be locally realized as hypersurfaces of a semi-Euclidean space s n + 1 , n ≥ 5.

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