Boundedness of geometric invariants near a singularity which is a suspension of a singular curve

• Luciana F. Martins ^[1] ; Kentaro Saji ^[2] ; Samuel P. dos Santos ^[1] ; Keisuke Teramoto ^[3]
  1. [1] Universidade Estadual Paulista

     Universidade Estadual Paulista

     Brasil

     
  2. [2] Kobe University

     Kobe University

     Chuo-ku, Japón

     
  3. [3] Yamaguchi University

     Yamaguchi University

     Japón

     

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• Localización: Revista de la Unión Matemática Argentina, ISSN 0041-6932, ISSN-e 1669-9637, Vol. 67, Nº. 2, 2024, págs. 475-502
• Idioma: inglés
• DOI: 10.33044/revuma.3492
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• Resumen

  • Near a singular point of a surface or a curve, geometric invariants diverge in general, and the orders of this divergence, in particular the boundedness about these invariants, represent the geometry of the surface and the curve. In this paper, we study the boundedness and orders of several geometric invariants near a singular point of a surface which is a suspension of a singular curve in the plane, and those of the curves passing through the singular point. We evaluate the orders of the Gaussian and mean curvatures, as well as those of the geodesic and normal curvatures, and the geodesic torsion for the curve.

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