Dual relations between line congruences in $$\mathbb {R}^3$$ and surfaces in $$\mathbb {R}^4$$
Author:
Funder
CAPES
Conselho Nacional de Desenvolvimento Científico e Tecnológico
Publisher
Springer Science and Business Media LLC
Link
https://link.springer.com/content/pdf/10.1007/s40687-024-00445-y.pdf
Reference15 articles.
1. Bruce, J.W., Tari, F.: Families of surfaces in $$\mathbb{R} ^4$$. Proc. Edinburgh Math. Soc. 45, 181–203 (2002)
2. Craizer, M., Garcia, R.A.: Singularities of generic line congruences. J. Math. Soc. Japan 75(2), 629–653 (2023)
3. Craizer, M., Garcia, R.A.: Curvature lines of a transversal equiaffine vector field along a surface in $$3$$-space In: Journal of Singularities, special issue proceedings of the 16th international workshop on real and complex singularities, (2022)
4. Garcia, R.A., Mochida, D.K.H., Fuster, M.C.R., Ruas, M.A.S.: Inflection points and topology of surfaces in $$4$$-space. Trans. Am. Math. Soc. 352(7), 3029–3043 (2000)
5. Gutierrez, C., Bringas, F.S.: On a Loewner umbilic-index conjecture for surfaces immersed in $${\mathbb{R} }^4$$. J. Dyn. Control Syst. 4(1), 127–136 (1998)
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