Department of Mathematics and Computer Science
Gruppo di Geometria Differenziale e Topologia
People
Faculty
- Gianluca Bande
- Beniamino Cappelletti Montano
- Andrea Loi
- Stefano Montaldo
- Roberto Mossa
- Irene Onnis
- Paola Piu
- Giovanni Placini
- Andrea Ratto
- Fabio Zuddas
PhD students and Post-Docs
- Lejzer Javier Castro Tapia
- Marco Casula
- Antonio Contrò
- Marco Damele
- Matteo Palmieri
- Antonio Sanna
Research Interests
- Harmonic and Biharmonic Maps and Immersions
- Contact Riemannian Geometry
- Complex and Kähler Geometry
- Cohomological Properties of Complex Manifolds
- Holomorphic Isometries of Kähler Manifolds
- Special Surfaces in Riemannian Manifolds (CMC, invariant, etc.)
- Sasakian and Vaisman Manifolds
- Geometric Deep Learning
Differential Geometry and Topology Seminars
The Differential Geometry and Topology group seminars take place on Tuesdays at 17:00 in the Aula B.
| Date | Speaker | Title |
|---|---|---|
| 10/03/2026 | Dr. Vittoria Piriottu (Università di Cagliari) |
On topological and homotopy invariant combinations of Hodge and Chern numbers |
|
17/03/2026 |
Dr. Micaela Mura (Università di Cagliari) |
On a new cohomological invariant of complex manifolds |
|
31/03/2026 |
Dr. Marco Usula (University of Oxford) |
PINNs, superfici minime e nodi |
|
08/04/2026 |
Dr. Antonio Contrò (Università di Cagliari) |
Strong Formality of Compact Hyperkähler Manifolds |
|
21/04/2026 |
Dr. Matteo Palmieri (Università di Cagliari) |
The symmetry condition for the Bergman metric |
|
05/05/2026 |
TBA | TBA |
|
26/05/2026 |
Prof. Volker Branding |
TBA |
Events
- Complex Differential Geometry and Special Structures (Parma)
- Complex and Symplectic Geometry Workshop 2024
- Differential Geometry Workshop 2023 (Iasi)
- Differential Geometry Workshop 2022 (Vienna)
- Virtual Meeting on Differential Geometry 2021
- Differential Geometry Workshop 2021
- Differential Geometry Workshop 2020
- Variational Problems and the Geometry of Submanifolds 2019 (Lumini)
- RIEMain in Contact (2018)
Research Collaborations
Selected Publications
- A. Fardoun, S. Montaldo, A. Ratto, On the Stability of the Equator Map for Higher Order Energy Functionals. Int. Math. Res. Not. IMRN 2022, Issue 12, 9151–917
- R. Caddeo, I.I. Onnis, P. Piu, Bour's theorem and helicoidal surfaces with constant mean curvature in the Bianchi-Cartan-Vranceanu spaces. Ann. Mat. Pura Appl. (4) 201 (2022), no. 2, 913–932.
- R. Coelho, G. Placini, J. Stelzig, Maximally non-integrable almost complex structures: an h-principle and cohomological properties. Sel. Math. New Ser. 28, 83 (2022).
- S. Montaldo, C. Oniciuc, A. Ratto, Index and nullity of proper biharmonic maps in spheres. Commun. Contemp. Math. 23 (2021), no. 3, Paper No. 1950087, 36 pp.
- A. Loi, F. Salis, F. Zuddas, Extremal Kähler metrics induced by finite or infinite-dimensional complex space forms. J. Geom. Anal. 31 (2021), no. 8, 7842–7865.
- A. Loi, R. Mossa, Kähler immersions of Kähler-Ricci solitons into definite or indefinite complex space forms. Proc. Amer. Math. Soc. 149 (2021), no. 11, 4931–4941.
- G. Bande, B. Cappelletti-Montano, A. Loi, η-Einstein Sasakian immersions in non-compact Sasakian space forms. Ann. Mat. Pura Appl. (4) 199 (2020), no. 6, 2117–2124.
- G. Bande, P. Ghiggini, Holomorphic spheres and four-dimensional symplectic pairs. J. Geom. Anal. 30 (2020), no. 1, 861–873.
- V, Branding, S. Montaldo, C. Oniciuc, A. Ratto, Higher order energy functionals. Adv. Math. 370 (2020), 107236, 60 pp.
- I.I Onnis, A. P. Passos Passamani, P. Piu, Constant angle surfaces in Lorentzian Berger spheres. J. Geom. Anal. 29 (2019), no. 2, 1456–1478.
- B. Cappelletti-Montano, A. De Nicola, J. C. Marrero, I. Yudin, Hard Lefschetz theorem for Vaisman manifolds. Trans. Amer. Math. Soc. 371 (2019), no. 2, 755–776.
- A. Loi, Andrea, F. Salis, F. Zuddas, Two conjectures on Ricci-flat Kähler metrics. Math. Z. 290 (2018), no. 1-2, 599–613.
- S. Gudmundsson, S. Montaldo, A. Ratto, Biharmonic functions on the classical compact simple Lie groups. J. Geom. Anal. 28 (2018), no. 2, 1525–1547.
- B. Cappelletti-Montano, A. De Nicola, I. Yudin, Hard Lefschetz theorem for Sasakian manifolds. J. Differential Geom. 101 (2015), no. 1, 47–66.
- S. Montaldo, I.I. Onnis, Helix surfaces in the Berger sphere. Israel J. Math. 201 (2014), no. 2, 949–966.
- F. Mercuri, I.I. Onnis, On the Björling problem in a three-dimensional Lie group. Illinois J. Math. 53 (2009), no. 2, 431–440.
- G. Bande, D. Kotschick, The geometry of recursion operators. Comm. Math. Phys. 280 (2008), no. 3, 737–749.
Alumni
- Adina Balmus (Università di Iasi - Romania)
- Francesco Cannas-Aghedu
- Benedetto Manca (Università di Cagliari)
- Apoenã Passos Passamani (Universidade Federal do Espírito Santo)
- Nicola Pia (Fraunhofer-Gesellschaft)
- Filippo Salis (Politecnico di Torino)
- Michela Zedda (Università di Parma)
Former Members
- Renzo Caddeo