Explicit characterization of spherical curves
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- by Shlomo Breuer and David Gottlieb PDF
- Proc. Amer. Math. Soc. 27 (1971), 126-127 Request permission
Abstract:
It is shown that the differential equation characterizing a spherical curve can be solved explicitly to express the radius of curvature of the curve in terms of its torsion.References
- Shlomo Breuer and David Gottlieb, The reduction of linear ordinary differential equations to equations with constant coefficients, J. Math. Anal. Appl. 32 (1970), 62–76. MR 264143, DOI 10.1016/0022-247X(70)90318-5
- Erwin Kreyszig, Differential geometry, Mathematical Expositions, No. 11, University of Toronto Press, Toronto, 1959. MR 0108795
Additional Information
- © Copyright 1971 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 27 (1971), 126-127
- MSC: Primary 53.01
- DOI: https://doi.org/10.1090/S0002-9939-1971-0270275-2
- MathSciNet review: 0270275