Search academic texts

Information × Registration Number 0311U012064, 0109U000185 , R & D reports Title Investigations of some tipes of diffeomorphims of affine connected and Riemannian spaces. popup.stage_title Дослідження деяких типів дифіоморфізмів афінозв'язних та ріманових просторів. Head Yablonska Natalya, Registration Date 26-12-2011 Organization South Ukrainian State Pedagogical University popup.description2 Аt the present time the theory of geodesic mapping grew into the classic section of modern geometry, enriched by the numerous results of fundamental character. A proncipal contribution to these researches were brought by: T. Levi-Civita, G.Fubini, A.S.Solodnikov, P.A.Shirokov, M.S.Sinyukov, A.Z.Petrov, I.Mikesh, A.P.Shirokov, A.V.Aminova, S.G.Leyko,and others. The purpose of the work is in further study of geometric properties of affine and Riemannian spaces those assume some types of diffeomorphisms, guestions of existence and arbitrariness of studied geometric types of the diffeomorphisms , obtaining the estimations of arbtrarinss of the studied diffeomorphisms and firding the spaces, those assume the most freedom in the choice of diffeomorphisms, possibilities of applications of the diffeomorphisms in the field theory, mechanics of continuous medium, the relativity theory. Results: Geometric properties of affine and Riemannian spaces those admit some geometric types of diffeomorphisms were studied. Questions of existence and arbitrariness of these geometric types of diffeomorphisms were studied. The estimations of arbitrariness of these diffeomorphisms were oftained, the spaces, those admit the most freedom in the choice of such diffeomorphisms were found. The results can be used by mathematics in their scientific researches, and also in an educational process ,for preparation of graduate students, master's degrees, probationers, students during special courses, special seminars, term, diploma and dissertation papers, in mentioned direction. Product Description popup.authors Драганюк Сергій Володимирович Зернов Олександр Євгенович Ладиненко Лада Павлівна Перець Ольга Борисівна Синюкова Олена Миколаївна Яблонська Наталя Вікторівна Яковлєва Ольга Миколаївна popup.nrat_date 2020-04-02 Close