Harmonic curvatures in Lorentzian space.
Harmonic morphisms between degenerate semi-Riemannian manifolds.
Harmonic morphisms between semi-Riemannian manifolds.
Holomorphically projective mappings of compact semisymmetric manifolds
In this paper we consider holomorphically projective mappings from the compact semisymmetric spaces onto (pseudo-) Kählerian spaces . We proved that in this case space is holomorphically projective flat and is space with constant holomorphic curvature. These results are the generalization of results by T. Sakaguchi, J. Mikeš, V. V. Domashev, N. S. Sinyukov, E. N. Sinyukova, M. Škodová, which were done for holomorphically projective mappings of symmetric, recurrent and semisymmetric Kählerian...
Hypercomplex Algebras and Geometry of Spaces with Fundamental Formof an Arbitrary Order
The article is devoted to a generalization of Clifford and Grassmann algebras for the case of vector spaces over the field of complex numbers. The geometric interpretation of such generalizations are presented. Multieuclidean geometry is considered as well as the importance of it in physics.