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629 (0,051s)

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Almost geodesic curves and geodesic mappings

In this paper, we present some results obtained for almost geodesic curves and geodesic mappings and transformations. We prove that a mapping under which all almost geodesic curves pass to almost geodesic curves is...

Pure mathematics

  • 2023
  • Jost
  • Link
Result

Geodesic and almost geodesic mappings onto Ricci symmetric spaces

This paper is devoted to study of geodesic and almost geodesic mappings definition of geodesic and almost geodesic mappings. The next section is devoted to geodesic mappings onto Ricci symmetric manifolds ...

Pure mathematics

  • 2017
  • D
Result

Bifurcation of closed geodesics

This paper is denoted to further study of geodesic bifurcation on surfaces of revolution. We demonstrate an example of bifurcation of closed geodesics on surfaces....

Pure mathematics

  • 2018
  • D
  • Link
Result

The functional definition of generalized geodesics

In this paper, a functional definition of geodesics is introduced which allows to generalize the notion of a geodesic from smooth to topological manifolds. In the $ C^infty $ case it coincides with the classical definition of ge...

BA - Obecná matematika

  • 2000
  • Jx
Result

Geodesics and almost geodesics curves

We determine in Rn the form of curves C for which also any image under an (n − 1)-dimensional algebraic torus is a geodesic or an almost geodesic with respect to an affine connections ∇ with constant coefficients and calculate expli...

Pure mathematics

  • 2018
  • Jimp
  • Link
Result

Functional aquations for metric geodesic arcs

The functional equations which make possible to generalize the notion of geodesics from smooth Riemannian manifold to arbitrary metric spaces are presented. Necessary and sufficient conditions for the set of all geodesics generated ...

BA - Obecná matematika

  • 2002
  • D
Result

On Geodesic Bifurcations

In this paper we study fundamental equations of geodesics on surfaces of revolution. We obtain examples of existence of geodesic bifurcation....

Pure mathematics

  • 2017
  • D
  • Link
Result

Composition of conformal and geodesic mappings

In the present article we proved some relations of conformal and geodesic time are conformal and geodesic, are homothetic. We proved that if a composition of conformal and geodesic mapping is ``commutative'' then this ma...

Pure mathematics

  • 2017
  • D
  • Link
Result

Geodesic Mappings and Einstein Spaces

In this paper we study fundamental properties of geodesic mappings with respect to the smoothness class of metrics. We show that geodesic mappings preserve the smoothness class of metrics. We study geodesic mappings of Eins...

BA - Obecná matematika

  • 2013
  • C
  • Link
Result

Geodesic Mappings and Einstein Spaces

In this paper we study fundamental properties of geodesic mappings with respect to the smoothness class of metrics. We show that geodesic mappings preserve the smoothness class of metrics. We study geodesic mappings of Eins...

BA - Obecná matematika

  • 2013
  • D
  • Link
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