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

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

Published or accepted articles

  1. Reggiani, S., On the affine group of a normal homogeneous manifold, Annals of Global Analysis and Geometry, 37(4), 351–359 (2009). doi:10.1007/s10455-009-9190-8 arXiv:0906.1802v3
  2. 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:10.1515/crelle.2011.100 arXiv:0811.1157v2
  3. 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:10.1007/s00605-013-0554-6 arXiv:1210.8374v1
  4. Reggiani, S., A Berger-type theorem for metric connections with skew-symmetric torsion, Journal of Geometry and Physics, 65, 26–34 (2013). doi:10.1016/j.geomphys. 2012.11.012 arXiv:1111.5044v2
  5. Olmos, C., Reggiani, S., & Tamaru, H., The index of symmetry of compact naturally reductive spaces, Mathematische Zeitschrift, 277(3-4), 611–628 (2014). doi:10.1007/s00209-013-1268-0 arXiv:1508.05286v1
  6. 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:10.1016/j.difgeo.2016.08.004 arXiv:1508.05286v1
  7. 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:10.4171/jems/664 arXiv:1312.6097v1
  8. 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:10.1515/advgeom-2017-0061 arXiv:1604.04934v2
  9. Reggiani, S., The distribution of symmetry of a naturally reductive nilpotent Lie group, Geometriae Dedicata, 200, 61–65 (2019). doi:10.1007/s10711-018-0358-x arXiv:1710.05018v1
  10. Reggiani, S., Manifolds admitting a metric with co-index of symmetry 4, Manuscripta Mathematica (2020). doi:10.1007/s00229-020-01194-2 arXiv:1812.04780v1

Preprints

  1. Reggiani, S., & Vittone F., The moduli space of left-invariant metrics on a class of six-dimensional nilpotent Lie groups. In preparation.

Other publications

  1. Reggiani, S., Variedades riemannianas reductivas, Master Thesis, Universidad Nacional de Córdoba, 2008.
  2. Reggiani, S., Holonomía y espacios naturalmente reductivos, PhD Thesis, Universidad Nacional de Córdoba, 2012. PDF

Teaching

2020

2019

2018

  • Primer cuatrimestre: Estructuras Algebraicas II
  • Segundo cuatrimestre: Complementos de Matemática II (LCC)

Links

Author: Silvio Reggiani / Background image by Pablo D. Flores, CC BY-SA 2.5

Created: 2020-08-21 vie 14:15

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