On the geodesics of smooth manifolds
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Bu maqolada uch o‘lchamli Yevklid fazosida joylashgan elliktik paraboloid va ikki o‘lchamli sfera
kabi silliq ko‘pxilliklardagi geodezik chiziqlar o‘rganilgan. Asosiy natija R 9 da joylashgan 3 o‘lchamli
silliq ko‘pxillik bo‘lgan SO(3) gruppaning geodezik chiziq tenglamasi topilgan.
1. Bolsinov A. and Fomenko A. Integrable Hamiltonian Systems. Geometry, Topology, Classification, Ijevsk:
Chapman and Hall, 2004.
2. Narmanov A. and Ergashova Sh. On the geometry of SO(3). J. Geom. Symmetry Phys. 72 (2025) 83–94.
3. Narmanov A. and Ergashova Sh. Geometry of some completely integrable Hamiltonian systems. Uzbek
Mathematical Journal 69 (2025) 110–119.
4. Trofimov V. and Fomenko A. Algebra and geometry of integrable Hamiltonian differential equations.
Faktorial, Moscow 1995.
Mulkiiyat (c) 2025 «O‘zMU XABARLARI»
Ushbu ish quyidagi litsenziya asosida ruxsatlangan Kreativ Commons Attribution-NonCommercial-ShareAlike 4.0 International litsenziyasi asosida bu ish ruxsatlangan..
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