Carlo Mantegazza
[mantegaz]
Full Professor, Dip. Mat. "Renato Caccioppoli", Univ. Napoli Federico II and Scuola Superiore Meridionale, Napoli
Email: carlo.mantegazza AT unina.it
Home-page: http://cvgmt.sns.it/HomePages/cm
arxiv id: mantegazza_c_1
Available papers (68):
[plain text]- V. Agostiniani - C. Mantegazza - L. Mazzieri - F. Oronzio (Accepted Paper: Ann. Sc. Norm. Super. Pisa Cl. Sci.)
Riemannian Penrose Inequality via Nonlinear Potential Theory (2025) - C. Mantegazza - M. Novaga - A. Pluda - F. Schulze (Astérisque)
Evolution of Networks with Multiple Junctions (2024) - S. Della Corte - A. Diana - C. Mantegazza (Note di Matematica)
Uniform Sobolev, Interpolation and Geometric Calderón-Zygmund Inequalities for Graph Hypersurfaces (2024) - R. Benedetti - C. Mantegazza (Atti Accad. Peloritana Pericolanti Cl. Sci. Fis. Mat. Natur.)
La Congettura di Poincaré (2024) - L. Benatti - C. Mantegazza - F. Oronzio - A. Pluda (Accepted Paper: J. Geom. Anal.)
A Note on Ricci-Pinched Three-Manifolds (2024) - V. Agostiniani - C. Mantegazza - L. Mazzieri - F. Oronzio (Atti Accad. Naz. Lincei - Rend. Lincei Mat. Appl.)
A New Proof of the Riemannian Penrose Inequality (2023) - D. Castorina - G. Catino - C. Mantegazza (Ann. Mat. Pura Appl.)
Semilinear Li & Yau Inequalities (2023) - A. Diana - N. Fusco - C. Mantegazza (Submitted Paper)
Stability for the Surface Diffusion Flow (2023) - G. Ascione - D. Castorina - G. Catino - C. Mantegazza (Math. Engineering)
A Matrix Harnack Inequality for Semilinear Heat Equations (2023) - S. Della Corte - A. Diana - C. Mantegazza (Math. Engineering)
Global Existence and Stability for the Modified Mullins-Sekerka and Surface Diffusion Flow (2022) - D. Castorina - G. Catino - C. Mantegazza (Math. Engineering)
A Triviality Result for Semilinear Parabolic Equations (2022) - C. Mantegazza - M. Pozzetta (Revista Matematica Iberoamericana)
Asymptotic Convergence of Evolving Hypersurfaces (2022) - C. Mantegazza - M. Novaga - A. Pluda (J. Reine Angew. Math. (Crelle's Journal))
Type-0 Singularities in the Network Flow - Evolution of Trees (2022) - C. Mantegazza (Rend. Semin. Mat. Univ. Padova)
Some Elementary Questions in the Calculus of Variations (2021) - C. Mantegazza - M. Pozzetta (Calc. Var.)
The Lojasiewicz-Simon Inequality for the Elastic Flow (2021) - C. Mantegazza - A. Pluda - M. Pozzetta (Milan J. Math.)
A Survey of the Elastic Flow of Curves and Networks (2021) - C. Mantegazza (Short Note)
On $C^2$ Umbilical Hypersurfaces (2021) - D. Castorina - C. Mantegazza (Comm. Cont. Math.)
Ancient Solutions of Superlinear Heat Equations on Riemannian Manifolds (2021) - C. Mantegazza - M. Novaga - A. Pluda (Lecture Notes: Springer INdAM Series)
Lectures on Curvature Flow of Networks (2019) - P. Baldi - E. Haus - C. Mantegazza (Math. Ann.)
Existence of a Lens–Shaped Cluster of Surfaces Self–Shrinking by Mean Curvature (2019) - D. Castorina - C. Mantegazza - B. Sciunzi (Milan J. Math.)
A Liouville Theorem for Superlinear Heat Equations on Riemannian Manifolds (2019) - P. Baldi - E. Haus - C. Mantegazza (Comm. PDE)
Non-Existence of Theta-Shaped Self-Similarly Shrinking Networks Moving by Curvature (2018) - G. Catino - L. Cremaschi - Z. Djadli - C. Mantegazza - L. Mazzieri (Pacific J. Math.)
The Ricci-Bourguignon Flow (2017) - D. Castorina - C. Mantegazza (Atti Accad. Naz. Lincei - Rend. Lincei Mat. Appl.)
Ancient Solutions of Semilinear Heat Equations on Riemannian Manifolds (2017) - P. Baldi - E. Haus - C. Mantegazza (Atti Accad. Naz. Lincei - Rend. Lincei Mat. Appl.)
Networks Self-Similarly Moving by Curvature with Two Triple Junctions (2017) - C. Mantegazza - S. Mongodi - M. Rimoldi (Geometric Flows)
The Cotton Tensor and the Ricci Flow (2017) - C. Mantegazza - M. Novaga - A. Pluda (Geometric Flows)
Motion by Curvature of Networks with Two Triple Junctions (2017) - P. Baldi - E. Haus - C. Mantegazza (Geometric Flows)
On the Classification of Networks Self-Similarly Moving by Curvature (2017) - R. Benedetti - C. Mantegazza (Rivista UMI - Matematica, Cultura e Società)
La Congettura di Poincaré e il Flusso di Ricci (2017) - A. Magni - C. Mantegazza - M. Novaga (Ann. Sc. Norm. Super. Pisa Cl. Sci.)
Motion by Curvature of Planar Networks II (2016) - R. Benedetti - C. Mantegazza (Lecture Notes in Mathematics/CIME Foundation Subseries, Springer.)
Ricci Flow and Geometric Applications (2016) - C. Mantegazza
On the Minimality of the Potential Function of a Gradient Shrinking Ricci Soliton (2016) - C. Mantegazza - V. M. Tortorelli (Quaderni dell'Accademia Pontaniana di Napoli)
Ennio De Giorgi - Corso di Analisi Matematica (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) - L. Cremaschi - C. Mantegazza (Discrete Contin. Dyn. Syst. - Series A)
Short-Time Existence of the Second Order Renormalization Group Flow in Dimension Three (2015) - C. Mantegazza - R. Buzano (J. Reine Angew. Math. (Crelle's Journal))
Perelman's Entropy Functional at Type I Singularities of the Ricci Flow (2015) - C. Mantegazza - R. Müller (J. Reine Angew. Math. (Crelle's Journal))
Perelman's Entropy Functional at Type I Singularities of the Ricci Flow (2015) - H. D. Cao - G. Catino - Q. Chen - C. Mantegazza - L. Mazzieri (Calc. Var. Partial Differential Equations)
Bach-Flat Gradient Steady Ricci Solitons (2014) - N. Gigli - C. Mantegazza (Advances in Math.)
A Flow Tangent to the Ricci Flow via Heat Kernels and Mass Transport (2014) - A. Magni - C. Mantegazza (Rend. Sem. Mat. Univ. Padova)
A Note on Grayson's Theorem (2014) - C. Mantegazza - G. Mascellani - G. Uraltsev (Pacific J. of Math.)
On the Distributional Hessian of the Distance Function (2014) - C. Mantegazza (PhD Thesis - Scuola Normale Superiore di Pisa)
Smooth Geometric Evolutions of Hypersurfaces and Singular Approximation of Mean Curvature Flow (2014) - G. Catino - C. Mantegazza - L. Mazzieri - M. Rimoldi (J. Reine Angew. Math. (Crelle's Journal))
Locally Conformally Flat Quasi-Einstein Manifolds (2013) - A. Magni - C. Mantegazza - E. Tsatis (J. Evol. Eqs.)
Flow by Mean Curvature inside a Moving Ambient Space (2013) - C. Mantegazza
Some Entropies for Mean Curvature Flow (2013) - G. Catino - C. Mantegazza - L. Mazzieri (Commun. Contemp. Math.)
On the Global Structure of Conformal Gradient Solitons with Nonnegative Ricci Tensor (2012) - C. Mantegazza - L. Martinazzi (Ann. Sc. Norm. Super. Pisa Cl. Sci.)
A Note on Quasilinear Parabolic Equations on Manifolds (2012) - G. Catino - C. Mantegazza (Ann. Inst. Fourier)
The evolution of the Weyl Tensor under the Ricci Flow (2011) - C. Mantegazza (Book Introduction and Errata: Progress in Mathematics, Birkhauser)
Lecture Notes on Mean Curvature Flow (2011) - M. Caldarelli - G. Catino - Z. Djadli - A. Magni - C. Mantegazza (Geom. Dedicata)
On Perelman's Dilaton (2010) - C. Mantegazza
Notes on the Distance Function from a Submanifold (2010) - A. Magni - C. Mantegazza (in "Singularities in Nonlinear Evolution Phenomena and Applications'' (M. Novaga & G. Orlandi eds.), CRM Series of Center "Ennio De Giorgi", Pisa)
Some Remarks on Huisken's Monotonicity Formula for Mean Curvature Flow (2009) - A. Magni - C. Mantegazza
Curves Homothetically Shrinking by Curvature (2009) - M. Eminenti - G. La Nave - C. Mantegazza (Manuscripta Math.)
Ricci Solitons - The Equation Point of View (2008) - G. Bellettini - C. Mantegazza - M. Novaga (J. Diff. Geom.)
Singular Perturbations of Mean Curvature Flow (2007) - C. Mantegazza - M. Novaga - V. M. Tortorelli (Ann. Sc. Norm. Super. Pisa Cl. Sci.)
Motion by Curvature of Planar Networks (2004) - C. Mantegazza (Progress in Nonlin. Diff. Eqs. and Appl.)
Evolution by Curvature of Networks of Curves in the Plane (2004) - M. Eminenti - C. Mantegazza (J. Geom. Anal.)
Some Properties of the Distance Function and a Conjecture of De Giorgi (2004) - C. Mantegazza - A. C. G. Mennucci (Appl. Math. Opt.)
Hamilton-Jacobi Equations and Distance Functions on Riemannian Manifolds (2003) - C. Mantegazza (GAFA)
Smooth Geometric Evolutions of Hypersurfaces (2002) - I. Fonseca - C. Mantegazza (SIAM J. Math. Anal.)
Second Order Singular Perturbation Models for Phase Transitions (2000) - L. Ambrosio - C. De Lellis - C. Mantegazza (Calc. Var.)
Line Energies for Gradient Vector Fields in the Plane (1999) - I. Fragalà - C. Mantegazza (Proc. Royal Soc. Edinburgh)
On some Notions of Tangent Space to a Measure (1999) - L. Ambrosio - C. Mantegazza (J. Geom. Anal.)
Curvature and Distance Function from a Manifold (1998) - G. Alberti - C. Mantegazza (Bollettino Un. Mat. Ital. (7))
A Note on the Theory of SBV Functions (1997) - C. Mantegazza (J. Diff. Geom.)
Curvature Varifolds with Boundary (1996) - C. Mantegazza (Degree Thesis - Math Dept. Univ. Pisa)
Su Alcune Definizioni Deboli di Curvatura per Insiemi Non Orientati (1993)
Seminars:
- 29 apr 2020: Perelman, the Ricci flow and the Poincaré Conjecture
- 16 oct 2015: Networks of curves in the plane moving by curvature
- 17 jul 2014: Some results and problems about evolutions of geometric structures
- 28 mar 2012: A density function for the Ricci Flow
- 23 feb 2011: Flow by Mean Curvature inside a Moving Ambient Space
- 7 may 2008: Connessioni tra il flusso di Ricci e la fisica teorica
- 11 mar 2005: Seminario sul flusso di Ricci
- 9 nov 2000: Problemi Geometrici di Evoluzione
Speaker:
- 30 jun 2025 - 4 jul 2025: Topics in Geometric Measure Theory
- 16 jun 2025 - 20 jun 2025: Differential Geometry, Analysis and Epistemology in Milan - a conference in honor of Marco Rigoli's 70th birthday
- 13 nov 2024 - 15 nov 2024: PDE Festival@UniMi
- 1 dec 2023 - 2 dec 2023: Curvature-driven geometric problems
- 28 aug 2023 - 30 aug 2023: Three days between Analysis and Geometry in Trento - 2° edition (New fundings available for Postdocs!!)
- 12 jun 2023 - 16 jun 2023: Calculus of Variations and Geometric Measure Theory
- 16 may 2023 - 19 may 2023: Nonlinear PDEs in Cosenza
- 15 jun 2022 - 17 jun 2022: A Geometric Analysis Meeting at UniTo
- 6 jun 2022 - 10 jun 2022: Special Riemannian Metrics and Curvature Functionals
- 23 mar 2020 - 27 mar 2020: Geometric Variational Problems
- 9 sep 2019 - 13 sep 2019: Geometric Analysis, Submanifolds, and Geometry of PDE's
- 27 may 2019 - 30 may 2019: Analytic and Geometric Aspects of PDEs
- 4 jun 2018 - 15 jun 2018: International School on Extrinsic Curvature Flows
- 14 sep 2017 - 15 sep 2017: Workshop "Calculus of Variations and Partial Differential Equations"
- 20 feb 2017 - 24 feb 2017: France-Italy meeting in Geometric Analysis
- 10 jan 2014 - 10 jan 2014: A Geometry Day in Como
Organizer:
- 9 feb 2026 - 13 feb 2026: XXXV Convegno Nazionale di Calcolo delle Variazioni
- 10 feb 2025 - 14 feb 2025: XXXIV Convegno Nazionale di Calcolo delle Variazioni
- 26 jun 2017 - 30 jun 2017: Curves and Networks in Geometric Analysis
- 23 jun 2014 - 28 jun 2014: School on Geometric Evolution Problems