Interpretation of Geometry on Manifolds as a Geometry in a Space with Projective Metric

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Abstract


In this paper, we give essential concepts of geometry of three-dimensional spaces in vector formulation in an affine-vector space An.

About the authors

A Artikbaev

National University of Uzbekistan named after M. Ulugbek

Email: aartykbaev@mail.ru

S S Saitova

National University of Uzbekistan named after M. Ulugbek

Email: sayo_ss1985@mail.ru

References

  1. Артыкбаев А. Восстановление выпуклых поверхностей по внешней кривизне в галилеевом пространстве// Мат. сб. - 1982. - 19, № 2. - С. 204-224.
  2. Масальцев Л. А. Непогружаемость нилмногообразий в виде гиперповерхностей в евклидово пространство// Мат. заметки. - 2004. - 76, № 6. - С. 868-873.
  3. Розенфельд Б. А. Неевклидовы пространства. - М.: Наука, 1969.
  4. Scott P. The geometries of 3-monifolds// Bull. Lond. Math. Soc. - 1983. - 15, № 5. - С. 401-487.

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