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Conformal invariants and spherical contacts of surfaces in R^4

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Conformal invariants and spherical contacts of surfaces in R^4

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Romero-Fuster, M.; Sanabria Codesal, E. (2013). Conformal invariants and spherical contacts of surfaces in R^4. Revista Matemática Complutense. 26(1):215-240. https://doi.org/10.1007/s13163-011-0086-3

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Título: Conformal invariants and spherical contacts of surfaces in R^4
Autor: Romero-Fuster, M.C Sanabria Codesal, Esther
Entidad UPV: Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
Fecha difusión:
Resumen:
Based on the fact that conformal maps preserve contacts of surfaces with hyperspheres, we introduce the concept of strong principal lines on surfaces in ℝ4 and obtain conformally invariant differential 1-forms along them. ...[+]
Palabras clave: Immersed surfaces , Curvature ellipse , Semiumbilics , Ridges , Conformal invariants , De Sitter space
Derechos de uso: Cerrado
Fuente:
Revista Matemática Complutense. (issn: 1139-1138 )
DOI: 10.1007/s13163-011-0086-3
Editorial:
Springer Verlag (Germany)
Versión del editor: http://link.springer.com/article/10.1007%2Fs13163-011-0086-3
Código del Proyecto:
info:eu-repo/grantAgreement/MICINN//MTM2009-08933/ES/Singularidades, Geometria Generica Y Morfologia Matematica/
Agradecimientos:
Work of both authors partially supported by DGCYT-FEDER grant no. MTM2009-08933.
Tipo: Artículo

References

Arnol’d, V.I., Gusein-Zade, S.M., Varchenko, A.N.: Singularities of Differentiable Maps. Monographs in Mathematics, vol. 82. Birkhäuser, Boston (1985)

Beardon, A.F.: The Geometry of Discrete Groups. Springer, Berlin (1983)

Coxeter, H.S.M.: Inversive distance. Ann. Mat. Pura Appl. 4(71), 73–83 (1966) [+]
Arnol’d, V.I., Gusein-Zade, S.M., Varchenko, A.N.: Singularities of Differentiable Maps. Monographs in Mathematics, vol. 82. Birkhäuser, Boston (1985)

Beardon, A.F.: The Geometry of Discrete Groups. Springer, Berlin (1983)

Coxeter, H.S.M.: Inversive distance. Ann. Mat. Pura Appl. 4(71), 73–83 (1966)

Deheuvels, R.: Groupes conformes et algèbres de Clifford. Rend. Semin. Mat. (Torino) 43(2), 205–226 (1985)

Golubitsky, M., Gillemin, V.: Stable Mappings and Their Singularities. Springer, Berlin (1973)

Langevin, R.J., O’Hara, J.: Conformal arc-length as $\frac{1}{2}$ -dimensional length of the set of osculating circles. Comment. Math. Helv. 85, 273–312 (2010)

Little, J.: On singularites of submanifolds of higher dimensional Euclidean space. Ann. Mat. Pura Appl., Ser. 4A 83, 261–336 (1969)

Looijenga, E.J.N.: Structural stability of smooth families of C ∞-functions. Doctoral Thesis, University of Amsterdam (1974)

Mochida, D.K.H., Romero-Fuster, M.C., Ruas, M.A.S.: The geometry of surfaces in 4-space from a contact viewpoint. Geom. Dedic. 54, 323–333 (1995)

Monera, M.G., Montesinos Amilibia, A., Sanabria Codesal, E.: The Taylor expansion of the exponential map and geometric applications. Preprint

Montaldi, J.A.: Contact with application to submanifolds. Ph.D. Thesis, University of Liverpool (1983)

Montaldi, J.A.: On generic composites of maps. Bull. Lond. Math. Soc. 23, 81–85 (1991)

Montesinos Amilibia, A., Romero Fuster, M.C., Sanabria Codesal, E.: Conformal curvatures of curves in ℝ n+1. Indag. Math. 12(3), 369–382 (2001)

Moraes, S., Romero Fuster, M.C.: Semiumbilics and normal fields on surfaces immersed in ℝ n ,n>3. Rocky Mt. J. Math. 35(4), 1327–1346 (2005)

Porteous, I.R.: The normal singularities of a submanifold. J. Differ. Geom. 5, 543–564 (1971)

Porteous, I.R.: Geometric Differentiation for the Intelligence of Curves and Surfaces. Cambridge University Press, Cambridge (2001)

Romero-Fuster, M.C.: Stereographic projections and geometric singularities. In: Workshop on Real and Complex Singularities, São Carlos, 1996. Mat. Contemp., vol. 12, pp. 167–182 (1997)

Romero-Fuster, M.C., Sanabria-Codesal, E.: Generalized evolutes, vertices and conformal invariants of curves in ℝ n+1. Indag. Math. 10(2), 297–305 (1999)

Romero-Fuster, M.C., Sanabria-Codesal, E.: Lines of curvature, ridges and conformal invariants of hypersurfaces. Beitrage Algebra Geom. 45(2), 615–635 (2004)

Romero-Fuster, M.C., Sanchéz-Bringas, F.: Umbilicity of surfaces with orthogonal asymptotic lines in ℝ4. Differ. Geom. Appl. 16, 213–224 (2002)

Romero-Fuster, M.C., Ruas, M.A.S., Tari, F.: Asymptotic curves on surfaces in ℝ5. Commun. Contemp. Math. 10, 309–335 (2008)

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