Existence conditions of framed curves for smooth curves

Author:

Fukunaga Tomonori,Takahashi Masatomo

Funder

Japan Society for the Promotion of Science

Publisher

Springer Science and Business Media LLC

Subject

Geometry and Topology

Reference9 articles.

1. Arnol’d, V.I., Gusein-Zade, S.M., Varchenko, A.N.: Singularities of Differentiable Maps, vol. I. Birkhäuser, Basel (1986)

2. Bishop, R.L.: There is more than one way to frame a curve. Am. Math. Monthly 82, 246–251 (1975)

3. Bruce, J.W., Giblin, P.J.: Curves and singularities. A geometrical introduction to singularity theory, Second edn. Cambridge University Press, Cambridge (1992)

4. Fukunaga, T., Takahashi, M.: Existence and uniqueness for Legendre curves. J. Geom. 104, 297–307 (2013)

5. Greub, W., Halperin, S., Vanstone, R.: Connections, Curvature, and Cohomology. Pure and applied mathematics, vol. I. Elsevier, New York (1972)

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