Simple umbilic points on surfaces immersed in $\R^4$

Carlos Gutierrez; Víctor Guíñez

doi:10.3934/dcds.2003.9.877

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2003, Volume 9, Issue 4: 877-900. Doi: 10.3934/dcds.2003.9.877

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Simple umbilic points on surfaces immersed in $\R^4$

Carlos Gutierrez^1, and
Víctor Guíñez^2,

1.
ICMC-USP, São Carlos, Caixa Postal 668, CEP 13560-970, São Carlos, SP
2.
Universidad de Santiago de Chile, Departamento de Matemática y C.C., Casilla 307, Correo 2, Santiago

Received: October 31, 2001

Revised: November 30, 2002

Published: June 2003

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Abstract

We study local problems around simple umbilic points of surfaces immersed in $\mathbb R^4$ such as finite determinacy and versal unfoldings.

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Mathematics Subject Classification: 53A07, 58D10, 37G10.

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