[catino]

Giovanni Catino

Professor, Politecnico di Milano

Email: giovanni.catino AT polimi.it

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

arxiv id: catino_g_1

Available papers (52):

• G. Catino - P. Mastrolia - Dario D. Monticelli (preprint)
  Uniqueness of critical metrics for a quadratic curvature functional (2023)
• G. Catino - A. Roncoroni (preprint)
  A closure result for globally hyperbolic spacetimes (2023)
• G. Catino - Y. Li - Dario D. Monticelli - A. Roncoroni (preprint)
  A Liouville theorem in the Heisenberg group (2023)
• D. Castorina - G. Catino - C. Mantegazza (preprint)
  Semilinear Li & Yau inequalities (2022)
• G. Catino - Dario Daniele Monticelli (preprint)
  Semilinear elliptic equations on manifolds with nonnegative Ricci curvature (2022)
• G. Catino - Dario Daniele Monticelli - A. Roncoroni (preprint)
  On the critical $p$-Laplace equation (2022)
• G. Catino - D. Dameno - P. Mastrolia (preprint)
  Some canonical metrics {\em via} Aubin's local deformations (2022)
• G. Catino - D. Dameno - P. Mastrolia (preprint)
  Rigidity results for Riemannian twistor spaces under vanishing curvature conditions (2022)
• G. Catino - P. Mastrolia - A. Roncoroni (preprint)
  Two rigidity results for stable minimal hypersurfaces (2022)
• G. Catino - P. Mastrolia - Dario Daniele Monticelli (preprint)
  Rigidity of Critical Metrics for Quadratic Curvature Functionals (2021)
• G. Ascione - D. Castorina - G. Catino - C. Mantegazza (preprint)
  A matrix Harnack inequality for semilinear heat equations (2021)
• G. Catino (preprint)
  Metrics of constant negative scalar-Weyl curvature (2021)
• G. Catino - A. Roncoroni - L. Vezzoni (Bull. Sci. Math.)
  On the umbilic set of immersed surfaces in three-dimensional space forms (2020)
• G. Catino - D. Dameno - P. Mastrolia (preprint)
  On Riemannian four-manifolds and their twistor spaces: a moving frame approach (2020)
• G. Catino - D. Castorina - C. Mantegazza (preprint)
  A Triviality Result for Semilinear Parabolic Equations (2020)
• F. Belgiorno - G. Catino (preprint)
  A Weyl Entropy of Pure Spacetime Regions (2020)
• G. Catino - Dario Daniele Monticelli - F. Punzo (preprint)
  The Poisson equation on Riemannian manifolds with weighted Poincaré inequality at infinity (2019)
• G. Catino - F. Gazzola - P. Mastrolia (preprint)
  A conformal Yamabe problem with potential on the euclidean space (2019)
• G. Catino - P. Mastrolia (preprint)
  Weyl scalars on compact Ricci solitons (2018)
• G. Catino - P. Mastrolia - Dario D. Monticelli - F. Punzo (preprint)
  Four dimensional closed manifolds admit a weak harmonic Weyl metric (2018)
• G. Catino (preprint)
  Rigidity of positively curved shrinking Ricci solitons in dimension four (2018)
• G. Catino - Dario Daniele Monticelli - F. Punzo (preprint)
  The Poisson equation on manifolds with positive essential spectrum (2018)
• G. Catino - L. Cremaschi - Z. Djadli - C. Mantegazza - L. Mazzieri (Published Online: Pacific J. Math.)
  The Ricci-Bourguignon Flow (2017)
• G. Catino - P. Mastrolia (preprint)
  A potential generalization of some canonical Riemannian metrics (2017)
• G. Catino - P. Mastrolia (preprint)
  Bochner type formulas for the Weyl tensor on four dimensional Einstein manifolds (2016)
• G. Catino - P. Mastrolia - Dario Daniele Monticelli (preprint)
  Gradient Ricci solitons with vanishing conditions on Weyl (2016)
• G. Catino - L. Mazzieri (Nonlinear Anal.)
  Gradient Einstein solitons (2016)
• G. Catino (preprint)
  Integral pinched shrinking Ricci solitons (2015)
• G. Catino - P. Mastrolia - Dario Daniele Monticelli (preprint)
  Classification of expanding and steady Ricci solitons with integral curvature decay (2015)
• G. Catino - C. Mantegazza - L. Mazzieri (Anal. PDE)
  Locally conformally flat ancient Ricci flows (2015)
• G. Catino - L. Mazzieri - S. Mongodi (Commun. Contemp. Math.)
  Rigidity of gradient Einstein shrinkers (2015)
• G. Catino - C. Mantegazza - L. Mazzieri (Math. Ann.)
  A note on Codazzi tensors (2015)
• G. Catino - P. Mastrolia - Dario D. Monticelli (preprint)
  A variational characterization of flat spaces in dimension three (2014)
• G. Catino (preprint)
  Some rigidity results on critical metrics for quadratic functionals (2014)
• G. Catino - P. Mastrolia - Dario D. Monticelli - M. Rigoli (preprint)
  Analytic and geometric properties of generic Ricci solitons (2014)
• G. Catino - P. Mastrolia - D. Monticelli - M. Rigoli (preprint)
  On the geometry of gradient Einstein-type manifolds (2014)
• G. Catino - A. Deruelle - L. Mazzieri (Preprint: arXiv:1311.7499 [math.DG])
  Uniqueness of asymptotically cylindrical gradient shrinking Ricci solitons (2014)
• H. D. Cao - G. Catino - Q. Chen - C. Mantegazza - L. Mazzieri (Calc. Var. Partial Differential Equations)
  Bach-flat gradient steady Ricci solitons (2014)
• G. Catino (preprint)
  A remark on compact hypersurfaces with constant mean curvature in space forms (2014)
• G. Catino (preprint)
  On conformally flat manifolds with constant positive scalar curvature (2014)
• G. Catino - P. Mastrolia - Dario D. Monticelli - M. Rigoli (preprint)
  Conformal Ricci Solitons and related Integrability Conditions (2014)
• G. Catino - L. Mazzieri (J. Geom. Anal.)
  Connected sum construction for σ_k-Yamabe metrics (2013)
• G. Catino (preprint)
  Critical metrics of the $L^2$-norm of the scalar curvature (2012)
• G. Catino (preprint)
  A note on four dimensional (anti-)self-dual quasi-Einstein manifolds (2011)
• G. Catino - C. Mantegazza - L. Mazzieri (preprint)
  On the global structure of conformal gradient solitons with nonnegative Ricci tensor (2011)
• G. Catino (preprint)
  Complete gradient shrinking Ricci solitons with pinched curvature (2011)
• G. Catino - C. Mantegazza - L. Mazzieri - M. Rimoldi (preprint)
  Locally conformally flat quasi-Einstein manifolds (2010)
• G. Catino (preprint)
  Generalized quasi-Einstein manifolds with harmonic Weyl tensor (2010)
• G. Catino - L. Mazzieri (preprint)
  Connected sum construction for $σ_k$-Yamabe metrics (2009)
• G. Catino - C. Mantegazza (preprint)
  Evolution of the Weyl Tensor under the Ricci Flow (2009)
• G. Catino - Cheikh Birahim Ndiaye (preprint)
  Integral pinching results for manifolds with boundary (2008)
• G. Catino - Z. Djadli (preprint)
  Integral pinched 3-manifolds are space forms (2007)

Seminars:

• 12 apr 2024: Some rigidity results for stable minimal hypersurfaces
• 11 apr 2024: Einstein metrics and Ricci solitons
• 29 jan 2019: Some canonical Riemannian metrics on four manifolds: existence and rigidity
• 22 jul 2015: Rigidity of critical metrics for quadratic curvature functionals

Speaker:

• 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
• 19 feb 2019 - 19 feb 2019: Brussels-London geometry seminar "Conformal geometry"
• 8 sep 2016 - 9 sep 2016: Complex and Riemannian Geometry days

Organizer:

• 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