Spinor fields on Riemannian manifolds
On holomorphically projective mappings onto Kählerian spaces
The main result of this paper determines a system of linear partial differential equations of Cauchy type whose solutions correspond exactly to holomorphically projective mappings of a given equiaffine space onto a Kählerian space. The special case of constant holomorphic curvature is also studied.
Twistor spinors and solutions of the equation (E) on Riemannian manifolds
On some relations between curvature and metric tensors in Riemannian spaces
The paper generalizes results of and [Dokl. Akad. Nauk, Ross. Akad. Nauk 351, No. 3, 295-296 (1996; Zbl 0895.53038) and Sib. Mat. Zh. 39, No. 4, 1005-1012 (1998; Zbl 0913.53019)] on the existence and uniqueness of a Riemannian metric on a domain in given prescribed values for some of the components of the Riemann curvature tensor and initial values of the metric and its partial derivatives. The authors establish the construction (existence and uniqueness) of a metric tensor in a semigeodesic...
On 4-planar mapping of special almost antiquaternionic spaces
On holomorphically projective mappings from equiaffine symmetric and recurrent spaces onto Kählerian spaces
On the theory of the 4-quasiplanar mappings of almost quaternionic spaces
Authors’ abstract: “4-quasiplanar mappings of almost quaternionic spaces with affine connection without torsion are investigated. Geometrically motivated definitions of these mappings are presented. Based an these definitions, fundamental forms of these mappings are found, which are equivalent to the forms of 4-quasiplanar mappings introduced a priori by [Sov. Math. 30, 100-104 (1986; Zbl 0602.53029)]”.
On almost geodesic mappings onto Riemannian spaces
4-planar mappings of almost quaternionic and almost antiquaternionic Spaces.
Studium numerické matematiky na MFF UK
Schéma pro řešení soustav lineárních algebraických rovnic eliminací
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