Kiosak V. Mappings of special pseudo-Riemannian spaces

Українська версія

Thesis for the degree of Doctor of Science (DSc)

State registration number

0517U000842

Applicant for

Specialization

  • 01.01.04 - Геометрія і топологія

06-12-2017

Specialized Academic Board

Д.26.206.03

Essay

Dissertation treats geodesic, conformal and holomorphically projective mappings of pseudo-Riemannian spaces. The task is simplified to non-metric study of systems of differential equations in co-cariant derivatives. By the introduction of additional limitations (specialization of spaces), the author answers the question: whether the space admits a mapping or it does not. The author suggests a way of specialization of pseudo-Riemannian spaces by the type of inner objects. Methods of research are applied to the study of geodesic and conformal mappings of pseudo-Riemannian spaces and holomorphic-projective mappings of Kahlerian spaces.

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