Pré-Publicações

• PARTIALLY UMBILIC SINGULARITIES OF HYPERSURFACES OF R4. Acesse aqui.
• UMBILIC SINGULARITIES AND LINES OF CURVATURE ON ELLIPSOIDS OF R4.Acesse aqui.

Arxiv (www.arxiv.org)

• arXiv:2108.06525  Singularities of Generic Line Congruences. Marcos Craizer, Ronaldo Alves Garcia

• arXiv:2108.05430  Loci of Poncelet Triangles with Multiple Caustics. Ronaldo Garcia, Boris Odehnal, Dan Reznik

• arXiv:2106.00715  A Theory for Locus Ellipticity of Poncelet 3-Periodic Centers. Mark Helman, Dominique Laurain, Dan Reznik, Ronaldo Garcia

• arXiv:2104.13174. Poncelet Plectra: Harmonious Curves in Cosine Space  Daniel Jaud, Dan Reznik, Ronaldo Garcia

• arXiv:2103.11260  New Invariants of Poncelet-Jacobi Bicentric Polygons.  Pedro Roitman, Ronaldo Garcia, Dan Reznik

• arXiv:2102.10899  Average Elliptic Billiard Invariants with Spatial Integrals. Jair Koiller, Dan Reznik, Ronaldo Garcia

• arXiv:2102.09438  Invariant Center Power and Elliptic Loci of Poncelet Triangles. Mark Helman, Dominique Laurain, Ronaldo Garcia, Dan Reznik

• arXiv:2012.11270  Family Ties: Relating Poncelet 3-Periodics by their Properties.  Ronaldo Garcia, Dan Reznik

• arXiv:2012.03020  The Talented Mr. Inversive Triangle in the Elliptic Billiard.  Dan Reznik, Ronaldo Garcia, Mark Helman

• arXiv:2011.06640 Invariants of Self-Intersected N-Periodics in the Elliptic Billiard. Ronaldo Garcia, Dan Reznik

• arXiv:2011.06511  Blaschke's asymptotic lines of surfaces in R3. Martín Barajas-Sichacá, Ronaldo Garcia, Andrés Vargas

• arXiv:2010.09408  Intriguing Invariants of Centers of Ellipse-Inscribed Triangles.  Mark Helman, Ronaldo Garcia, Dan Reznik

• arXiv:2010.01391  An Infinite, Converging, Sequence of Brocard Porisms.  Dan Reznik, Ronaldo Garcia

• arXiv:2009.08561  Loci of the Brocard Points over Selected Triangle Families.  Ronaldo Garcia, Dan Reznik

• arXiv:2009.07647  Related by Similarity II: Poncelet 3-Periodics in the Homothetic Pair and the Brocard Porism.  Dan Reznik, Ronaldo Garcia

• arXiv:2009.02581 Area-Invariant Pedal-Like Curves Derived from the Ellipse  Dan Reznik, Ronaldo Garcia, Hellmuth Stachel

• arXiv:2008.04765 Curvature lines of a transversal eqüiaffine vector field along a surface in 3-space. Marcos Craizer, Ronaldo A. Garcia

• arXiv:2006.13166  Steiner's Hat: a Constant-Area Deltoid Associated with the Ellipse.  Ronaldo Garcia, Dan Reznik, Hellmuth Stachel, Mark Helman

• arXiv:2004.13509   Related by Similiarity: Poristic Triangles and 3-Periodics in the Elliptic Billiard.  Ronaldo Garcia, Dan Reznik

• arXiv:2004.12497  Eighty New Invariants of N-Periodics in the Elliptic Billiard.  Dan Reznik, Ronaldo Garcia, Jair Koiller

• arXiv:2004.06776  The Circumbilliard: Any Triangle can be a 3-Periodic.  Dan Reznik, Ronaldo Garcia

• arXiv:2003.08323  Principal cycles of one dimensional foliations associated to a plane field in E3.  Alacyr J. Gomes, Ronaldo A. Garcia

• arXiv:2002.00001  The Ballet of Triangle Centers on the Elliptic Billiard. Dan Reznik, Ronaldo Garcia, Jair Koiller

• arXiv:2001.08054  New Properties of Triangular Orbits in Elliptic Billiards. Ronaldo Garcia, Dan Reznik, Jair Koiller

• arXiv:2001.08041  Loci of 3-periodics in an Elliptic Billiard: why so many ellipses? Ronaldo Garcia, Dan Reznik, Jair Koiller

• arXiv:1911.01515   Can the Elliptic Billiard Still Surprise Us?  Dan Reznik, Ronaldo Garcia, Jair Koiller

• arXiv:1908.03253   Finite type ξ-asymptotic lines of plane fields in R3.  Douglas H. da Cruz, Ronaldo A. Garcia

• arXiv:1901.06044  Affine curvature lines of surfaces in 3-space.  Martín Barajas S., Marcos Craizer, Ronaldo Garcia

• arXiv:1811.07331 The Projective Pedal of an Eqüiaffine Immersion.  Marcos Craizer, Ronaldo Alves Garcia

• arXiv:1711.10743 Quadratic Points of Surfaces in Projective 3-Space. Marcos Craizer, Ronaldo Alves Garcia

• arXiv:1405.2537 Umbilic Singularities and Lines of Curvature on Ellipsoids of R4. Débora Lopes, Jorge Sotomayor, Ronaldo Garcia

• arXiv:0912.3749  Dynamical behavior of Darboux curves.  Ronaldo Garcia, Remi Langevin, Pawel Walczak

• arXiv:math/0403500 Lines of Mean Curvature on Surfaces Immersed in R3. Ronaldo Garcia, Jorge Sotomayor