Dr. Silvio Reggiani
Table of Contents
About
PhD in Mathematics
Adjoint Researcher at CONICET
Assistant Professor at FCEIA-UNR
Research interests: Riemannian geometry - Symmetric spaces - Naturally reductive spaces - Holonomy - Connections with skew-symmetric torsion - Geometry of nilmanifolds - Einstein metrics - Non-negative curvature metrics - Cayley-Dickson algebras
Contact
Departamento de Matemática - Escuela de Ciencias Exactas y Naturales (ECEN)
Facultad de Ciencias Exactas, Ingeniería y Agrimensura (FCEIA)
Universidad Nacional de Rosario (UNR)
Av. Pellegrini 250 - Rosario (S2000BTP) - Santa Fe - ARGENTINA
Phone: +54 (341) 480 2649/52 (ext. 216)
Fax: + 54 (341) 480 2654
E-mail: reggiani (at) fceia (dot) unr (dot) edu (dot) ar
Publications
See also arXiv.org, Zentralblatt MATH and Google Scholar
Published or accepted articles
- Cardoso, I., Cosgaya, A., & Reggiani, S., The moduli space of left-invariant metrics on six-dimensional characteristically solvable nilmanifolds, Mathematische Nachrichten 298(5), 1496–1520 (2025). DOI PDF
- Cosgaya, A., & Reggiani, S., Isometry groups of three-dimensional Lie groups, Annals of Global Annalysis and Geometry, 61, 831-845 (2022). DOI PDF
- Reggiani, S., Manifolds admitting a metric with co-index of symmetry 4, Manuscripta Mathematica (2020). DOI PDF
- Reggiani, S., The distribution of symmetry of a naturally reductive nilpotent Lie group, Geometriae Dedicata, 200, 61–65 (2019). DOI PDF
- Reggiani, S., The index of symmetry of three-dimensional Lie groups with a left-invariant metric, Advances in Geometry, 18(4), 395–404 (2018). DOI PDF
- Berndt, J., Olmos, C., & Reggiani, S., Compact homogeneous Riemannian manifolds with low coindex of symmetry, Journal of the European Mathematical Society, 19(1), 221–254 (2017). DOI PDF
- Kocsard, A., Ovando, G. P., & Reggiani, S., On first integrals of the geodesic flow on Heisenberg nilmanifolds, Differential Geometry and its Applications, 49, 496–509 (2016). DOI PDF
- Olmos, C., Reggiani, S., & Tamaru, H., The index of symmetry of compact naturally reductive spaces, Mathematische Zeitschrift, 277(3-4), 611–628 (2014). DOI PDF
- Reggiani, S., A Berger-type theorem for metric connections with skew-symmetric torsion, Journal of Geometry and Physics, 65, 26–34 (2013). DOI PDF
- Olmos, C., & Reggiani, S., A note on the uniqueness of the canonical connection of a naturally reductive space, Monatshefte für Mathematik, 172(3-4), 379–386 (2013). DOI PDF
- Olmos, C., & Reggiani, S., The skew-torsion holonomy theorem and naturally reductive spaces, Journal für die reine und angewandte Mathematik (Crelles Journal), 2012(664), 29–53 (2012). DOI PDF
- Reggiani, S., On the affine group of a normal homogeneous manifold, Annals of Global Analysis and Geometry, 37(4), 351–359 (2009). DOI PDF
Preprints
- Luporini, B., Reggiani, S., and Vittone, F., The distribution of symmetry of Lorentzian naturally reductive nilmanifolds (2025). PDF
- Reggiani, S., The geometry of sedenion zero divisors (2024). PDF
- Reggiani, S., & Vittone F., The moduli space of left-invariant metrics of a class of six-dimensional nilpotent Lie groups (2020). PDF preparation.
Other publications
- Reggiani, S., Geometría de grupos de Lie usando SageMath, Actas del XVI Congreso Dr. Antonio Monteiro (2021), 67-116 (2023).PDF
- Reggiani, S., Holonomía y espacios naturalmente reductivos, PhD Thesis, Universidad Nacional de Córdoba, 2012. PDF
- Reggiani, S., Variedades riemannianas reductivas, Master Thesis, Universidad Nacional de Córdoba, 2008.
Teaching
2026
- Primer cuatrimestre: Análisis Matemático III
2025
- Primer cuatrimestre: Análisis Matemático III
- Segundo cuatrimestre: Estructuras Algebraicas II