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Spacelike Surfaces in \({{\mathbb L}^4}\) with Degenerate Gauss Map

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Abstract

In this paper we study and present a complete classification of spacelike surfaces with degenerate Gauss map in the Lorentz–Minkowski space \({\mathbb L^4}\) .

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Authors and Affiliations

  1. Departamento de Matemática, Instituto de Matemática e Estatística, Universidade de São Paulo, Caixa Postal 66281, São Paulo, CEP 05311-970, Brazil

    Antonio C. Asperti

  2. Faculdade de Matemática, Instituto de Ciências Exatas e Naturais (ICEN), Universidade Federal do Pará-UFPA, Rua Augusto Corrêa 01, Belém, Pará, CEP 66075-110, Brazil

    José Antonio M. Vilhena

Authors
  1. Antonio C. Asperti
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  2. José Antonio M. Vilhena
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Correspondence to Antonio C. Asperti.

Additional information

Dedicated to Keti Tenenblat on the occasion of her 65th birthday

A. C. Asperti was benefitted by Projeto Temático FAPESP 99/02684-3.

J. A. M. Vilhena was partially supported by CNPq, proc. 140410/2000-7.

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Asperti, A.C., Vilhena, J.A.M. Spacelike Surfaces in \({{\mathbb L}^4}\) with Degenerate Gauss Map. Results. Math. 60, 185–211 (2011). https://doi.org/10.1007/s00025-011-0146-5

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  • DOI: https://doi.org/10.1007/s00025-011-0146-5

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