People

Faculty

• Gianluca Bande 
• Beniamino Cappelletti Montano
• Andrea Loi
• Stefano Montaldo
• Roberto Mossa
• Irene Onnis
• Paola Piu
• Andrea Ratto
• Fabio Zuddas

PhD students and Post-Docs

• Daria Uccheddu
• Giovanni Placini

Research Interests

• Harmonic and biharmonic maps and immersions
• Contact Riemannian Geometry 
• Complex and Kähler Geometry
• Special Surfaces in Riemannian Manifolds (CMC, invariant, etc.)
• Sasakian and Vaisman manifolds
• Geometric Deep Learning

Events

• 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

• Dmitri Alekseevsky
• Claudio Arezzo
• David Blair
• Volker Branding
• Adriana Cintra
• Antonio De Nicola
• Giulia Dileo
• Ali Fardoun
• Paolo Ghiggini
• Sigmundur Gudmundsson
• Dieter Kotschick
• Eric Loubeau
• Francesco Mercuri
• Cezar Oniciuc
• Alvaro Pampano
• Apoenã Passos Passamani
• Ivan Yudin

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.
• 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