Produção Científica

By Ronaldo Alves Updated at 09/20/21 14:28

Apresentamos nos submenus as publicações cientificas desenvolvidas, incluindo artigos de opinião e de divulgação científica.

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Acesse as publicações indexadas listadas abaixo no MathReview

2021

  •  Helman, Mark; Garcia, Ronaldo; Reznik, Dan Intriguing invariants of centers of ellipse-inscribed triangles. J. Geom. 112 (2021), no. 2, Paper No. 28, 22 pp.  
     
  • Reznik, Dan; Garcia, Ronaldo Circuminvariants of 3-periodics in the elliptic billiard. Int. J. Geom. 10 (2021), no. 1, 31–57. 

2020

  • da Cruz, Douglas H.; Garcia, Ronaldo A. Finite type ξ-asymptotic lines of plane fields in ℝ3. J. Singul. 22 (2020), 17–27. 
  •   Reznik, Dan S.; Garcia, Ronaldo; Koiller, Jair The ballet of triangle centers on the elliptic billiard. J. Geom. Graph. 24 (2020), no. 1, 79–101.  
  •   Reznik, Dan; Garcia, Ronaldo; Koiller, Jair Can the elliptic billiard still surprise us? Math. Intelligencer 42 (2020), no. 1, 6–17.  
  • Barajas, M.; Craizer, M.; Garcia, R. Lines of affine principal curvatures of surfaces in 3-space. Results Math. 75 (2020), no. 1, Paper No. 32, 29 pp. 
     
  •  Sotomayor, J. ;GARCIA, Ronaldo Alves; Mello, L. F. . Maurício Matos Peixoto. Revista Matemática Universitária, v. 1, p. 1-22, 2020.
  • GARCIA, Ronaldo Alves. Polygons, conics and billiards. Materials Matemàtics, v. 9, p. 1-52, 2020.

2019

  • Craizer, Marcos; Garcia, Ronaldo A. Quadratic points of surfaces in projective 3-space. Q. J. Math. 70 (2019), no. 3, 1105–1134.  
  • Garcia, Ronaldo Elliptic billiards and ellipses associated to the 3-periodic orbits.Amer. Math. Monthly 126 (2019), no. 6, 491–504. 

2018

  •   Vieira, Evilson; Garcia, Ronaldo Asymptotic behavior of the shape of planar polygons by linear flows. Linear Algebra Appl. 557 (2018), 508–528. 
  •   Freitas, Bruno R.; Garcia, Ronaldo A. Inflection points on hyperbolic tori of 𝕊3. Q. J. Math. 69 (2018), no. 2, 709–728.  

2017

  • Garcia, Ronaldo; Langevin, Rémi; Walczak, Paweł Darboux curves on surfaces I.J. Math. Soc. Japan 69 (2017), no. 1, 1–24.  
2016
  • Sotomayor, Jorge; Garcia, Ronaldo Historical comments on Monge's ellipsoid and the configurations of lines of curvature on surfaces. Antiq. Math. 10 (2016), 169–182. 
  •  Garcia, Ronaldo; Langevin, Rémi; Walczak, Paweł Darboux curves on surfaces II. Bull. Braz. Math. Soc. (N.S.) 47 (2016), no. 4, 1119–1154.  
  • Sotomayor, J.; Garcia, R. Lines of curvature on quadric hypersurfaces of ℝ4. Lobachevskii J. Math. 37 (2016), no. 3, 288–306.  

2015

  •   Lopes, D.; Sotomayor, J.; Garcia, R. Partially umbilic singularities of hypersurfaces of ℝ4. Bull. Sci. Math. 139 (2015), no. 4, 431–472.  
  •   Garcia, Ronaldo; Langevin, Rémi; Walczak, Paweł Foliations making a constant angle with principal directions on ellipsoids. Ann. Polon. Math. 113 (2015), no. 2, 165–173. 
2014
  • Garcia, R.; Sotomayor, J.; Spindola, F. Axiumbilic singular points on surfaces immersed in ℝ4 and their generic bifurcations. J. Singul. 10 (2014), 124–146.  
  • Lopes, Débora; Sotomayor, Jorge; Garcia, Ronaldo Umbilic singularities and lines of curvature on ellipsoids of ℝ4. Bull. Braz. Math. Soc. (N.S.) 45 (2014), no. 3, 453–483. 

2013

  •   Garcia, Ronaldo; Marques, Diego A family of minimal immersed tori in 𝕊3 with dense principal lines. Bull. Sci. Math. 137 (2013), no. 2, 220–227.  

2012

  •  Garcia, Ronaldo; Sotomayor, Jorge Lines of axial curvature at critical points on surfaces mapped into ℝ4. São Paulo J. Math. Sci. 6 (2012), no. 2, 277–300.

 

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