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artigos científicos (2022-atual)

Por Ronaldo Alves Atualizada em 17/02/26 10:39

Publicações indexadas recentes. Acessar Zentralblatt (acesso livre) e MathReview.

2026.

Narvaez, F.; Garcia, R.

Conformally invariant skew curves for the total skew curvature on surfaces of $R^{3}$ . Zbl 08127411

Res. Math. Sci. 12, No. 4, Paper No. 83, 20 p. (2025).

2025.

Gheorghe, Liliana Gabriela; Garcia, Ronaldo Alves

Chapple porism: a visual spell. Zbl 08091369

Elem. Math. 80, No. 3, 89-96 (2025).

Gheorghe, Liliana; Garcia, Ronaldo

Pascal and a triangular billiard. Zbl 1563.51015

Int. J. Geom. 14, No. 1, 5-15 (2025).

Alencar, Hilário; Garcia, Ronaldo; Silva Neto, Gregório

A proof of a conjecture of W. Hsiang on $O (p) \times O (q)$ invariant CMC hypersurfaces with a singularity at the origin. Zbl 1561.53006

Bull. Braz. Math. Soc. (N.S.) 56, No. 1, Paper No. 13, 16 p. (2025).

2024.

Garcia, Ronaldo; Mello, Luis Fernando

Legacy of Jorge Sotomayor. Zbl 1556.01044

São Paulo J. Math. Sci. 18, No. 2, 1284-1304 (2024).

Craizer, Marcos; Garcia, Ronaldo

Dual relations between line congruences in $R^{3}$ and surfaces in $R^{4}$ . Zbl 1547.53014

Res. Math. Sci. 11, No. 2, Paper No. 30, 15 p. (2024).

2023.

Garcia, Ronaldo; Gheorghe, Liliana Gabriela; Reznik, Dan

Exploring the Steiner-Soddy porism. Zbl 1562.51023

Cheng, Liang-Yee (ed.), ICGG 2022 – proceedings of the 20th international conference on geometry and graphics, virtual, August 15–19, 2022. Cham: Springer. Lect. Notes Data Eng. Commun. Technol. 146, 34-46 (2023).

Garcia, Ronaldo; Tejada, Dimas

Principal lines on an ellipsoid in a Minkowski three-dimensional space. Zbl 1532.53051

Helman, Mark; Laurain, Dominique; Garcia, Ronaldo; Reznik, Dan

Invariant center power and elliptic loci of Poncelet triangles. Zbl 1511.51011

J. Dyn. Control Syst. 29, No. 1, 157-184 (2023).

Reznik, Dan; Garcia, Ronaldo

Poncelet parabola pirouettes. Zbl 1513.51036

Int. J. Geom. 12, No. 1, 93-116 (2023).

Garcia, Ronaldo; Koiller, Jair; Reznik, Dan

Loci of 3-periodics in an Elliptic Billiard: why so many ellipses? Zbl 1506.37042

J. Symb. Comput. 114, 336-358 (2023).

2022.

Garcia, Ronaldo; Lopes, Débora; Sotomayor, Jorge

Critical principal singularities of hypersurfaces in Euclidean 4-spaces. Zbl 1529.53010

J. Singularities 25, 150-172 (2022).

Craizer, Marcos; Garcia, Ronaldo A.

Curvature lines of a transversal equiaffine vector field along a surface in 3-space. Zbl 1529.53015

J. Singularties 25, 134-143 (2022).

Sotomayor, Jorge; Lopes, Débora; Garcia, Ronaldo

Principal curvature lines near a partially umbilic point of codimension one. Zbl 1496.53035

Lobachevskii J. Math. 43, No. 1, 162-181 (2022).

Garcia, Ronaldo; Gheorghe, Liliana G.; Moses, Peter; Reznik, Dan

Triads of conics associated with a triangle. Zbl 07673487

KoG 26, 16-32 (2022).

Bellio, Filipe; Garcia, Ronaldo; Reznik, Dan

Parabola-inscribed Poncelet polygons derived from the bicentric family. Zbl 1515.37089

KoG 26, 3-15 (2022).

Garcia, Ronaldo; Reznik, Dan

Exploring self-intersected $N$ -periodics in the elliptic billiard. Zbl 1524.51009

Ann. Math. Inform. 55, 49-75 (2022).

MSC: 51M04 51N20 51N35

Garcia, Ronaldo Alves; Reznik, Dan; Roitman, Pedro

New properties of harmonic polygons. Zbl 1505.51006

J. Geom. Graph. 26, No. 2, 217-236 (2022).

Garcia, Ronaldo; Reznik, Dan

A matryoshka of Brocard porisms. Zbl 1494.51006

Eur. J. Math. 8, Suppl. 1, S308-S329 (2022).

Reznik, Dan; Garcia, Ronaldo; Stachel, Hellmuth

Area-invariant pedal-like curves derived from the ellipse. Zbl 1497.53010

Beitr. Algebra Geom. 63, No. 2, 359-377 (2022).

Garcia, R.; Sotomayor, J.; Spindola, F.

Axial curvature cycles of surfaces immersed in $R^{4}$ . Zbl 1496.53009

Lobachevskii J. Math. 43, No. 1, 78-97 (2022).

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