G. C., Ch.-R. Onti, On q-convex hypersurfaces in Riemannian manifolds, (2026) [arXiv:2604.20695]

G. C., A. Farina, M. Magliaro, L. Mari, M. Rigoli, On the classification of capillary graphs in Euclidean and non-Euclidean spaces, (2025) [arXiv:2512.17813]

L. Branca, G. C., P. Mastrolia, F. Mastropietro, M. Rigoli, On the geometry of φ-perfect fluid static space-times, (2025) [arXiv:2509.11936]

G. C., F. Mastropietro, M. Rigoli, On the geometry of Cotton gravity
Ann. Global Anal. Geom. 70 (2026), article 2, 61 pp.
doi: 10.1007/s10455-026-10048-1 [arXiv:2605.12392]

G. C., A. Freitas, L. Mari, M. Rigoli, Some splitting and rigidity results for sub-static spaces
to appear in J. London Math. Soc.
doi: 10.1112/jlms.70590 [arXiv:2412.0538]

G. C., L. Mari, M. Rigoli, On minimal graphs of sublinear growth over manifolds with non-negative Ricci curvature
to appear in Ann. Sc. Norm. Super. Pisa Cl. Sci.
doi: 10.2422/2036-2145.202312_012 [arXiv:2310.15620]

G. C., E. S. Gama, L. Mari, M. Rigoli, Nonnegative Ricci curvature and minimal graphs with linear growth
Analysis & PDE 17 (2024), no. 7, pp. 2275-2310
doi: 10.2140/apde.2024.17.2275 [arXiv:2112.09886]

G. C., M. Mariani, M. Rigoli, Tachibana-type theorems on complete manifolds
Ann. Sc. Norm. Super. Pisa Cl. Sci. 25 (2024), issue no. 2, 1033-1083
doi: 10.2422/2036-2145.202203_018 [arXiv:2202.09702]

G. C., M. Mariani, M. Rigoli, A sharp Eells-Sampson type theorem under positive sectional curvature upper bounds
J. Math. Anal. Appl. 540 (2024), issue no. 1, paper no. 128584, 10 pp.
doi: 10.1016/j.jmaa.2024.128584 [arXiv:2403.18596]

L. J. Alías, G. C., M. Rigoli, Growth of subsolutions of Δpu = V|u|p−2u and of a general class of quasilinear equations
J. Geom. Anal. 34 (2024), issue no. 2, paper no. 44, 42 pp.
doi: 10.1007/s12220-023-01490-9 [arXiv:2304.05829]

G. C., L. Mari, M. Rigoli, Einstein-type structures, Besse's conjecture and a uniqueness result for a φ-CPE metric in its conformal class
J. Geom. Anal. 32 (2022), issue no. 11, paper no. 267, 32 pp.
doi: 10.1007/s12220-022-01000-3 [arXiv:2201.00263]

G. C., M. Magliaro, L. Mari, M. Rigoli, Bernstein and half-space properties for minimal graphs under Ricci lower bounds
Int. Math. Res. Not. IMRN 2022 (2022), issue no. 23, 18256-18290.
doi: 10.1093/imrn/rnab342 [arXiv:1911.12054]

G. C., G. R. Jensen, M. Rigoli, Codazzi surfaces in 4-manifolds
Mat. Contemp. 49 (2022), 263-307.
doi: 10.21711/231766362022/rmc4911

G. C., L. Mari, M. Rigoli, A splitting theorem for capillary graphs under Ricci lower bounds
J. Funct. Anal. 281 (2021), issue no. 8, paper no. 109136, 50 pp.
doi: 10.1016/j.jfa.2021.109136 [arXiv:2007.15143]

B. Bianchini, G. C., M. Magliaro, L. Mari, P. Pucci, M. Rigoli, Recent rigidity results for graphs with prescribed mean curvature
Math. Eng. 3 (2021), issue no. 5, paper no. 39, 48 pp.
doi: 10.3934/mine.2021039 [arXiv:2007.07194]

A. Anselli, G. C., M. Rigoli, On the geometry of Einstein-type structures
Nonlinear Anal. 204 (2021), paper no. 112198, 84 pp.
doi: 10.1016/j.na.2020.112198

G. C., L. Mari, M. Rigoli, Remarks on mean curvature flow solitons in warped products
Discrete Contin. Dyn. Syst. Ser. S 13 (2020), issue no. 7, 1957-1991.
doi: 10.3934/dcdss.2020153 [arXiv:1811.10968]

G. C., J. A. S. Pelegrín, M. Rigoli, Spacelike hypersurfaces in standard static spacetimes
Gen. Relativity Gravitation 51 (2019), issue no. 1, paper no. 21, 66 pp.
doi: 10.1007/s10714-019-2503-8 [arXiv:1901.08935]

G. C., J. A. S. Pelegrín, M. Rigoli, Stable maximal hypersurfaces in Lorentzian spacetimes
Nonlinear Anal. 179 (2019), 354-382.
doi: 10.1016/j.na.2018.09.009 [arXiv:1903.01156]

G. C., M. Rigoli, Complete spacelike hypersurfaces in orthogonally splitted spacetimes
Gen. Relativity Gravitation 49 (2017), issue no. 10, paper no. 130, 25 pp.
doi: 10.1007/s10714-017-2294-8

L. J. Alías, G. C., M. Rigoli, Maximum principles for weakly 1-coercive operators with applications to capillary and prescribed mean curvature graphs, in: R. Tojeiro (ed.) "Advances in Submanifold Theory and Related Topics", LAMS Springer Series, Springer, Cham, 2025, pp. 21-59.
doi: 10.1007/978-3-032-00918-0_2 [arXiv:2401.12152]

G. C., J. A. S. Pelegrín, M. Rigoli, A note on spacelike hypersurfaces and timelike conformal vectors, in: F. Ortegón Gallego, J. García García (eds.) "Recent Advances in Pure and Applied Mathematics", RSME Springer Series, 4, Springer, Cham, 2020, pp. 135-147.
doi: 10.1007/978-3-030-41321-7_11  [arXiv:2109.04164]