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A surface that contains many Lorentzian circles

Published online by Cambridge University Press:  30 April 2010

Graciela S. Birman
Affiliation:
Núcleo Consolidado de Matemática Pura y Aplicada (NUCOMPA), Facultad de Ciencias Exacta, Universidad Nacional del Centro de la Provincia de Buenos Aires, Pinto 399, 7000 Tandil, Argentina ([email protected]; [email protected])
Graciela M. Desideri
Affiliation:
Núcleo Consolidado de Matemática Pura y Aplicada (NUCOMPA), Facultad de Ciencias Exacta, Universidad Nacional del Centro de la Provincia de Buenos Aires, Pinto 399, 7000 Tandil, Argentina ([email protected]; [email protected])
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Abstract

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The characterization of a surface by means of the circles contained in it has been studied by S. Izuyima, A. Takiyama, K. Ogiu, R. Takagi and N. Takeuchi, among others. The aim of this paper is to show some characterizations of a pseudosphere in Lorentz 3-space, assuming the existence of Lorentzian and Euclidean circles.

Type
Research Article
Copyright
Copyright © Edinburgh Mathematical Society 2010