[mantegaz]

Carlo Mantegazza

Full Professor, Dip. Mat. Univ. Napoli Federico II and SSM, Napoli

Email: c.mantegazza AT sns.it

Home-page: http://cvgmt.sns.it/HomePages/cm

arxiv id: mantegazza_c_1

Available papers (63):

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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 (Submitted Paper)
Semilinear Li & Yau inequalities (2022)
D. Castorina - G. Catino - C. Mantegazza (Math. Engineering)
A Triviality Result for Semilinear Parabolic Equations (2022)
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 - C. Mantegazza (Comm. Cont. Math.)
Ancient solutions of superlinear heat equations on Riemannian manifolds (2021)
C. Mantegazza - M. Novaga - A. Pluda (Submitted Paper)
Type-0 singularities in the network flow - Evolution of trees (2021)
C. Mantegazza (Short Note)
On $C^2$ umbilical hypersurfaces (2021)
C. Mantegazza (Rend. Semin. Mat. Univ. Padova)
Some Elementary Questions in the Calculus of Variations (2021)
C. Mantegazza - A. Pluda - M. Pozzetta (Milan J. Math.)
A Survey of the Elastic Flow of Curves and Networks (2021)
C. Mantegazza - M. Pozzetta (Calc. Var.)
The Lojasiewicz-Simon Inequality for the Elastic Flow (2021)
C. Mantegazza - M. Pozzetta (Accepted Paper: Revista Matematica Iberoamericana)
Asymptotic convergence of evolving hypersurfaces (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 - (editors) (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 - M. Novaga - A. Pluda - F. Schulze (Submitted Paper)
Evolution of Networks with Multiple Junctions (2016)
C. Mantegazza - V. M. Tortorelli - (curatori) (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. Müller (J. Reine Angew. Math. (Crelle's Journal))
Perelman's Entropy Functional at Type I Singularities of the Ricci Flow (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)
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 - Andrea Carlo Mennucci (Appl. Math. Opt.)
Hamilton-Jacobi Equations and Distance Functions on Riemannian Manifolds (2003)
C. Mantegazza (GAFA)
Smooth Geometric Evolutions of Hypersurfaces (2002)
C. Mantegazza - Andrea Carlo Mennucci (preprint)
Hamilton-Jacobi Equations and Distance Functions on Riemannian Manifolds (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:

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:

26 jun 2017 - 30 jun 2017: Curves and Networks in Geometric Analysis
23 jun 2014 - 28 jun 2014: School on Geometric Evolution Problems

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