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Shortest and straightest geodesics in sub-Riemannian geometry
in a Riemannian manifold, based on two characteristic properties: geodesics as shortest curves and geodesics as straightest curves. They are generalized to sub-Riemannian manifolds, study and generalizati...
Pure mathematics
- 2020 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
On integrability of certain rank 2 sub-Riemannian structures
We discuss rank 2 sub-Riemannian structures on low-dimensional manifolds and prove that some of these structures in dimensions 6, 7 and 8 have a maximal amount of symmetry but no integrals polynomial in momenta of low degrees, excep...
Astronomy (including astrophysics,space science)
- 2017 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
On symmetries of a sub-Riemannian structure with growth vector (4,7)
We study symmetries of specific left-invariant sub-Riemannian structure with filtration (4, 7) and their impact on sub-Riemannian geodesics of corresponding control problem. We show that there are two very...
Mathematics
- 2022 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
On symmetries of a sub-Riemannian structure with growth vector (4,7)
We study symmetries of specific left-invariant sub-Riemannian structure with filtration (4, 7) and their impact on sub-Riemannian geodesics of corresponding control problem. We show that there are two very...
Pure mathematics
- 2023 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
SUB-RIEMANNIAN GEODESICS ASSOCIATED TO CR-GEOMETRY ON HEISENBERG GROUP H3
We introduce a class of curves corresponding to the class of metrics of sub-Riemannian geometry on the Heisenberg group IH[3. Any curve from the class belongs to a set of geodesics corresponding to a sub-Rieman...
Applied mathematics
- 2024 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Cut locus of a left invariant Riemannian metric on SO3 in the axisymmetric case
in the sub-Riemannian problem on SO3 as one of the metric eigenvalues tends to infinity.We consider a left invariant Riemannian metric on SO3 with two equal eigenvalues. We find the cut locus and the equation for the cut t...
BA - Obecná matematika
- 2016 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
On certain variational properties of geodesics.
Obtained new variational properties of geodesic on Riemannian and pseudo-Riemannian manifolds.
BA - Obecná matematika
- 2007 •
- D
Rok uplatnění
D - Stať ve sborníku
Geodesic deformations of hypersurfaces of Riemannian spaces
We present a geodesic deformations of hypersurfaces of Riemannian spaces and obtained fundamental equations of this deformations in Cauchy form....
BA - Obecná matematika
- 2005 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Non-holonomic equations for the normal extremals in geometric control theory
Applying the point of view of non-holonomic mechanics, we arrive at a new and simple system of equations for the normal sub-Riemannian geodesics. These use a partial connection that is canonically available, given a choice ...
Pure mathematics
- 2022 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
On the existence of homogeneous geodesics in homogeneous Riemannian manifold-Erratum
Erratum to: On the existence of homogeneous geodesics in homogeneous Riemannian manifolds, Geom. Dedicata 81, (2000), 209-214...
BA - Obecná matematika
- 2001 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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