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Browsing Факультет комп'ютерних наук, фізики та математики by Author "Kiosak, V."

Browsing Факультет комп'ютерних наук, фізики та математики by Author "Kiosak, V."

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  • GEODESIC MAPPINGS OF COMPACT GUASI-EINSTEIN SPACES 
    Kiosak, V.; Savchenko, A.; Latysh, O.; Савченко, О. Г. (2021)
    Thepapertreatsgeodesicmappingsofquasi-Einsteinspaceswith gradient defining vector. Previously the authors defined three types of these spaces. In the present paper it is proved that there are no quasi-Einstein spaces of ...
  • GEODESIC MAPPINGS OF COMPACT QUASI-EINSTEIN SPACES WITH CONSTANT SCALAR CURVATURE 
    Kiosak, V.; Savchenko, A.; Kamienieva, A.; Савченко, О. Г. (2020)
    In this paper we study a special type of pseudo-Riemannian spaces quasi-Einstein spaces of constant scalar curvature. These spaces are generalizations of known Einstein spaces. We obtained a linear form of the basic equations ...
  • Geodesic mappings of compact quasi-Einstein spaces, I 
    Kiosak, V.; Savchenko, А.; Kovalova, G.; Савченко, О. Г. (2020)
    The paper treats a particular type of pseudo-Riemannian spaces, namely quasi-Einstein spaces with gradient defining vector. These spaces are a generalization of well-known Einstein spaces. There are three types of these ...
  • HOLOMORPHICALLY PROJECTIVE MAPPINGS OF SPECIAL KÄHLER MANIFOLDS 
    Kiosak, V.; Savchenko, A.; Shevchenko, T.; Савченко, О. Г. (2018)
    The paper treats diffeomorphisms of special Kählerian manifolds,which preserve analytical planar curves. The research is conducted locally, in tensor shape, without limitations on the sign of metric. The problem is proved ...
  • MAPPINGS OF SPACES WITH AFFINE CONNECTION 
    Kiosak, V.; Lesechko, O.; Savchenko, O.; Савченко, О. Г. (2018)
  • ON THE CONFORMAL MAPPINGS OF SPECIAL QUASI-EINSTEIN SPACES 
    Kiosak, V.; Savchenko, A.; Gudyreva, E.; Савченко, О. Г. (2019)
    We have studied the conformal mappings of special quasi-Einstein spaces. When pseudo-Riemannian space Vn permits concircular mapping onto the quasi-Einstein space of the first type, then this space is an Einstein space. ...
  • ON THE TOPOLOGY OF QUASI-EINSTEIN SPACES 
    Kiosak, V.; Savchenko, A. G.; Khniunin, S.; Савченко, О. Г. (2020)
    The paper treats a particular type of pseudo-Riemannian spaces, namely quasi-Einstein spaces with gradient defining vector. These spaces are a generalization of well-known Einstein spaces. There are three types of these ...
  • STRONG TOPOLOGY ON THE SET OF PERSISTENCE DIAGRAMS 
    Zarichnyi, M.; Savchenko, A.; Kiosak, V.; Савченко, О. Г. (2019)
    We endow the set of persistence diagrams with the strong topology (the topology of countable direct limit of increasing sequence of bounded subsets considered in the bottleneck distance). The topology of the obtained space ...

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