On the uniqueness of the helicoid and Enneper’s surface in the Lorentz-Minkowski space $\mathbb {R}_1^3$
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- by Isabel Fernandez and Francisco J. Lopez PDF
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Abstract:
In this paper we deal with the uniqueness of the Lorentzian helicoid and Enneper’s surface among properly embedded maximal surfaces with lightlike boundary of mirror symmetry in the Lorentz-Minkowski space $\mathbb {R}_1^3.$References
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Additional Information
- Isabel Fernandez
- Affiliation: Departamento de Matematica Aplicada I, Facultad de Informática, Universidad de Sevilla, 41012, Sevilla, Spain
- Email: isafer@us.es
- Francisco J. Lopez
- Affiliation: Departamento de Geometría y Topología, Facultad de Ciencias, Universidad de Granada, 18071, Granada, Spain
- Email: fjlopez@ugr.es
- Received by editor(s): August 7, 2008
- Received by editor(s) in revised form: June 9, 2009
- Published electronically: April 20, 2011
- Additional Notes: The first author’s research was partially supported by MCYT-FEDER research project MTM2007-64504, and Junta de Andalucia Grants P06-FQM-01642 and FQM325.
The second author’s research was partially supported by MCYT-FEDER research project MTM2007-61775 and Junta de Andalucia Grant P06-FQM-01642. - © Copyright 2011 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 363 (2011), 4603-4650
- MSC (2000): Primary 53A10; Secondary 53C42, 53C50
- DOI: https://doi.org/10.1090/S0002-9947-2011-05133-0
- MathSciNet review: 2806686