Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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SOLVABILITY OF ODES DESCRIBING CURVES ON 𝕊2 OR ℍ2

  • Received : 2020.07.10
  • Accepted : 2021.03.11
  • Published : 2021.07.31
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Abstract

We show the solvability of the ordinary differential equations describing curves on sphere or hyperbolic space. Making use of the geometric properties of the equations, we derive explicit solution formulae.

Keywords

Acknowledgement

This work was supported by the National Research Foundation of Korea(NRF) grant funded by the Korea government(MSIT) (2020R1F1A1A01072197).

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