Full Professor, Politecnico di Milano

Email: giovanni.catino AT polimi.it

Home-page: http://sites.google.com/site/homepagecatino/

Available papers (59):

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• G. Catino - D. D. Monticelli (J. Eur. Math. Soc.)
  Semilinear elliptic equations on manifolds with nonnegative Ricci curvature (2026)
• G. Catino - P. Mastrolia - D. D. Monticelli (J. Math. Pures Appl.)
  Uniqueness of critical metrics for a quadratic curvature functional (2026)
• X. Cabré - G. Catino - L. Mari - P. Mastrolia - A. Roncoroni (Preprint)
  Gradient estimates for the Green kernel under spectral Ricci bounds, and the stable Bernstein theorem in $\mathbb{R}^4$ (2026)
• L. Branca - G. Catino - D. Dameno (Submitted Paper)
  Bach-pinched metrics on closed manifolds (2025)
• L. Branca - G. Catino - D. Dameno - P. Mastrolia (Ann. Glob. Anal. Geom.)
  Rigidity of Einstein manifolds with positive Yamabe invariant (2025)
• G. Catino - D. D. Monticelli - A. Roncoroni (Accepted Paper: J. Funct. Anal.)
  Rigidity of solutions to singular/degenerate semilinear critical equations (2025)
• G. Catino - P. Mastrolia - A. Roncoroni (Geom. Funct. Anal.)
  Two rigidity results for stable minimal hypersurfaces (2024)
• G. Catino - A. Roncoroni (Proc. Amer. Math. Soc.)
  A closure result for globally hyperbolic spacetimes (2024)
• G. Catino - Y. Li - D. D. Monticelli - A. Roncoroni (Accepted Paper: J. Eur. Math. Soc.)
  A Liouville theorem in the Heisenberg group (2024)
• G. Catino - D. D. Monticelli - A. Roncoroni - X. Wang (Submitted Paper)
  Liouville Theorems on pseudohermitian manifolds with nonnegative Tanaka-Webster curvature (2024)
• G. Catino - P. Mastrolia - D. Dameno (J. Math. Pures Appl.)
  Some canonical metrics via Aubin's local deformations (2024)
• G. Catino - D. Dameno - P. Mastrolia (Math. Nachr.)
  On Riemannian four-manifolds and their twistor spaces: a moving frame approach (2024)
• G. Catino - L. Mari - P. Mastrolia - A. Roncoroni (Submitted Paper)
  Criticality, splitting theorems under spectral Ricci bounds and the topology of stable minimal hypersurfaces (2024)
• G. Catino - P. Mastrolia - D. Dameno (Ann. Glob. Anal. Geom.)
  Rigidity results for Riemannian twistor spaces under vanishing curvature conditions (2023)
• G. Catino (Math. Res. Lett.)
  Metrics of constant negative scalar-Weyl curvature (2023)
• G. Catino - D. D. Monticelli - A. Roncoroni (Adv. Math.)
  On the critical $p$-Laplace equation (2023)
• G. Catino - P. Mastrolia - D. D. Monticelli (J. Math. Pures Appl.)
  Rigidity of Critical Metrics for Quadratic Curvature Functionals (2023)
• D. Castorina - G. Catino - C. Mantegazza (Ann. Mat. Pura Appl.)
  Semilinear Li & Yau Inequalities (2023)
• G. Ascione - D. Castorina - G. Catino - C. Mantegazza (Math. Engineering)
  A Matrix Harnack Inequality for Semilinear Heat Equations (2023)
• D. Castorina - G. Catino - C. Mantegazza (Math. Engineering)
  A Triviality Result for Semilinear Parabolic Equations (2022)
• G. Catino - P. Mastrolia - D. D. Monticelli - F. Punzo (Accepted Paper: Comm. Cont. Math.)
  Four dimensional closed manifolds admit a weak harmonic Weyl metric (2022)
• G. Catino - D. D. Monticelli - F. Punzo (Ann. Mat Pura Appl.)
  The Poisson equation on Riemannian manifolds with weighted Poincaré inequality at infinity (2021)
• F. Belgiorno - G. Catino (Accepted Paper: Class. Quantum Grav.)
  A Weyl Entropy of Pure Spacetime Regions (2020)
• G. Catino - F. Gazzola - P. Mastrolia (Accepted Paper: Ann. Mat. Pura Appl.)
  A conformal Yamabe problem with potential on the Euclidean space (2020)
• G. Catino - A. Roncoroni - L. Vezzoni (Bull. Sci. Math.)
  On the umbilic set of immersed surfaces in three-dimensional space forms (2020)
• G. Catino - P. Mastrolia (Ann. Glob. Anal. Geom.)
  A potential generalization of some canonical Riemannian metrics (2019)
• G. Catino - D. D. Monticelli - F. Punzo (Calc. Var. Partial Differential Equations)
  The Poisson equation on manifolds with positive essential spectrum (2019)
• G. Catino - P. Mastrolia (J. Geom. Anal.)
  Weyl scalars on compact Ricci solitons (2019)
• G. Catino - P. Mastrolia (Accepted Paper: Int. Math. Res. Not.)
  Bochner type formulas for the Weyl tensor on four dimensional Einstein manifolds (2018)
• G. Catino (Accepted Paper: Geom. Flows)
  Rigidity of positively curved shrinking Ricci solitons in dimension four (2018)
• G. Catino - P. Mastrolia - D. D. Monticelli - M. Rigoli (Pac. J. Math.)
  On the geometry of gradient Einstein-type manifolds (2017)
• G. Catino - L. Cremaschi - Z. Djadli - C. Mantegazza - L. Mazzieri (Pacific J. Math.)
  The Ricci-Bourguignon Flow (2017)
• G. Catino - P. Mastrolia - D. D. Monticelli (J. Math. Pures Appl.)
  Gradient Ricci solitons with vanishing conditions on Weyl (2017)
• G. Catino - P. Mastrolia - D. D. Monticelli (Pac. J. Math)
  A variational characterization of flat spaces in dimension three (2016)
• G. Catino (Proc. Amer. Math. Soc.)
  On conformally flat manifolds with constant positive scalar curvature (2016)
• G. Catino - L. Mazzieri (Nonlinear Anal.)
  Gradient Einstein solitons (2016)
• G. Catino - P. Mastrolia - D. D. Monticelli - M. Rigoli (Adv. Geom.)
  Conformal Ricci solitons and related integrability conditions (2016)
• G. Catino (Adv. Math.)
  Integral pinched shrinking Ricci solitons (2016)
• G. Catino - P. Mastrolia - D. D. Monticelli - M. Rigoli (Trans. Amer. Math. Soc.)
  Analytic and geometric properties of generic Ricci solitons (2016)
• G. Catino ( Bull. Sci. Math.)
  A remark on compact hypersurfaces with constant mean curvature in space forms (2016)
• G. Catino - P. Mastrolia - D. D. Monticelli (Geom. Topol.)
  Classification of expanding and steady Ricci solitons with integral curvature decay (2016)
• G. Catino - C. Mantegazza - L. Mazzieri (Math. Ann.)
  A Note on Codazzi Tensors (2015)
• G. Catino - C. Mantegazza - L. Mazzieri (Analysis & PDE)
  Locally Conformally Flat Ancient Ricci Flows (2015)
• G. Catino - L. Mazzieri - S. Mongodi (Comm. Cont. Math.)
  Rigidity of gradient Einstein shrinkers (2015)
• G. Catino (Calc. Var. Partial Differential Equations)
  Some rigidity results on critical metrics for quadratic functionals (2015)
• H. D. Cao - G. Catino - Q. Chen - C. Mantegazza - L. Mazzieri (Calc. Var. PDE)
  Bach-Flat Gradient Steady Ricci Solitons (2014)
• G. Catino (Math. Ann.)
  Complete gradient shrinking Ricci solitons with pinched curvature (2013)
• G. Catino - L. Mazzieri (J. Geom. Anal.)
  Connected sum construction for sigma$_k$-Yamabe metrics (2013)
• G. Catino - C. Mantegazza - L. Mazzieri - M. Rimoldi (J. Reine Angew. Math. (Crelle's Journal))
  Locally Conformally Flat Quasi-Einstein Manifolds (2013)
• G. Catino (Accepted Paper: Proc. Amer. Math. Soc.)
  Critical metrics of the $L^2$-norm of the scalar curvature (2013)
• G. Catino (Math. Z.)
  Generalized quasi-Einstein manifolds with harmonic Weyl tensor (2012)
• G. Catino (Differential Geom. Appl.)
  A note on four dimensional (anti-)self-dual quasi-Einstein manifolds (2012)
• G. Catino - C. Mantegazza - L. Mazzieri (Commun. Contemp. Math.)
  On the Global Structure of Conformal Gradient Solitons with Nonnegative Ricci Tensor (2012)
• G. Catino - Z. Djadli - C. B. Ndiaye (Manuscripta Math.)
  A sphere theorem on locally conformally flat even-dimensional manifolds (2011)
• G. Catino - C. Mantegazza (Ann. Inst. Fourier)
  The evolution of the Weyl Tensor under the Ricci Flow (2011)
• G. Catino - C. B. Ndiaye (Ann. Sc. Norm. Super. Pisa Cl. Sci.)
  Integral pinching results for manifolds with boundary (2010)
• G. Catino - Z. Djadli (Adv. Math.)
  Conformal deformations of integral pinched 3-manifolds (2010)
• M. Caldarelli - G. Catino - Z. Djadli - A. Magni - C. Mantegazza (Geom. Dedicata)
  On Perelman's Dilaton (2010)
• G. Catino (Phd Thesis)
  Some Integral Pinching Results in Riemannian Geometry (2009)

Seminars:

• 22 jul 2015: Rigidity of critical metrics for quadratic curvature functionals

Speaker:

• 31 aug 2026 - 3 sep 2026: Late Summer Conference in Geometric Analysis
• 16 jun 2025 - 20 jun 2025: Differential Geometry, Analysis and Epistemology in Milan - a conference in honor of Marco Rigoli's 70th birthday
• 8 jul 2024 - 12 jul 2024: 20th School on Interactions between Dynamical Systems and Partial Differential Equations (JISD2024)
• 14 sep 2023 - 15 sep 2023: MGT^2 : Milano-Grenoble-Torino Meeting in Geometry and Topology
• 15 jun 2022 - 17 jun 2022: A Geometric Analysis Meeting at UniTo
• 10 sep 2018 - 14 sep 2018: NONLINEAR ANALYSIS AND PDEs
• 12 feb 2018 - 16 feb 2018: Variational Methods in Analysis, Geometry and Physics
• 20 feb 2017 - 24 feb 2017: France-Italy meeting in Geometric Analysis

Organizer:

• 8 sep 2025 - 11 sep 2025: Perspectives in Geometric Analysis
• 6 jun 2022 - 10 jun 2022: Special Riemannian Metrics and Curvature Functionals
• 17 jun 2020 - 17 jun 2020: Milano-Torino Geometry & Analysis Seminar - II
• 22 jan 2020 - 22 jan 2020: MI-TO Geometry and Analysis Seminar - I
• 27 may 2019 - 30 may 2019: Analytic and Geometric Aspects of PDEs