Carlo Mantegazza Mathematical Analysis Scuola Normale Superiore di Pisa P.za Cavalieri 7, 56126 Pisa, Italy Office 88, III Floor Email: c.mantegazza@sns.it Office: +39/050/509062 Main: +39/050/509111 Fax: +39/050/563513

Scuola Normale Superiore di Pisa

Didactics 2012

Introduzione alla Geometria Riemanniana (in collaborazione con Lorenzo Mazzieri)

Curriculum

English - PostScript/PDF
Italiano - PostScript/PDF

Current Research

Calculus of variations and geometric measure theory
Functionals depending on curvature
Geometric evolutions
Nonlinear problems in Riemannian geometry

Papers & Notes

Giovanni Catino, Carlo Mantegazza and Lorenzo Mazzieri
A Note on the Global Structure of Conformal Gradient Solitons with Nonnegative Ricci Tensor, Preprint, 2011.

Huai-Dong Cao, Giovanni Catino, Qiang Chen, Carlo Mantegazza and Lorenzo Mazzieri
Bach-Flat Gradient Steady Ricci Solitons, Preprint, 2011.

Carlo Mantegazza
Lecture Notes on Mean Curvature Flow, Birkhäuser Verlag, 2011.

Giovanni Catino and Carlo Mantegazza
Evolution of the Weyl Tensor under the Ricci Flow, Ann. Inst. Fourier 61, 1407-1435, 2011.

Carlo Mantegazza and Luca Martinazzi
A Note on Quasilinear Parabolic Equations on Manifolds, 2010, to appear on Annali Sc. Norm. Super. Pisa.

Giovanni Catino, Carlo Mantegazza, Lorenzo Mazzieri and Michele Rimoldi
Locally Conformally Flat Quasi-Einstein Manifolds, 2010, to appear on J. Reine Angew. Math. (Crelle's Journal).

Marco Caldarelli, Giovanni Catino, Zindine Djadli, Annibale Magni and Carlo Mantegazza
On Perelman's Dilaton, Geom. Dedicata 145, 127-137, 2010.

Carlo Mantegazza
Notes on the Distance Function from a Submanifold, Lecture Notes, 2010.

Annibale Magni and Carlo Mantegazza
Curves Homothetically Shrinking by Curvature, 2009.

Annibale Magni and Carlo Mantegazza
A Note on Grayson's Theorem, 2009.


Annibale Magni and Carlo Mantegazza
Some Remarks on Huisken's Monotonicity Formula for Mean Curvature Flow, in Singularities in Nonlinear Evolution Phenomena and Applications (M. Novaga and G. Orlandi eds.), CRM Series of Center "Ennio De Giorgi", Pisa, 157-169, 2009.


Manolo Eminenti, Gabriele La Nave and Carlo Mantegazza
Ricci Solitons - The Equation Point of View, Manuscripta Math. 127, 345-367, 2008.


Giovanni Bellettini, Carlo Mantegazza and Matteo Novaga
Singular Perturbations of Mean Curvature Flow, J. Diff. Geom. 75, 403-431, 2007.


Carlo Mantegazza
Evolution by Curvature of Networks of Curves in the Plane, Progress in Nonlin. Diff. Eqs. and Appl. 59, 95-109, 2004.


Manolo Eminenti and Carlo Mantegazza
Some Properties of the Distance Function and a Conjecture of De Giorgi, J. Geom. Anal. 14, 267-279, 2004.


Carlo Mantegazza, Matteo Novaga and Vincenzo Maria Tortorelli
Motion by Curvature of Planar Networks, Annali Sc. Norm. Super. Pisa Cl. Sci. 3, 235-324, 2004.


Carlo Mantegazza and Andrea Carlo Mennucci
Hamilton-Jacobi Equations and Distance Functions on Riemannian Manifolds, Appl. Math. Opt. 47, 1-25, 2003.


Carlo Mantegazza
Smooth Geometric Evolutions of Hypersurfaces, Geom. and Funct. Anal. 12, 138-182, 2002.


Irene Fonseca and Carlo Mantegazza
Second Order Singular Perturbation Models for Phase Transitions, SIAM J. Math. Anal. 31, 1121-1143, 2000.


Luigi Ambrosio, Camillo De Lellis and Carlo Mantegazza
Line Energies for Gradient Vector Fields in the Plane, Calc. Var. 9, 327-355, 1999.


Ilaria Fragalà and Carlo Mantegazza
On some Notions of Tangent Space to a Measure, Proc. Roy. Soc. Edinburgh Sect. A 129A, 331-342, 1999.


Luigi Ambrosio and Carlo Mantegazza
Curvature and Distance Function from a Manifold, J. Geom. Anal. 8, 723-748, 1998.


Giovanni Alberti and Carlo Mantegazza
A Note on the Theory of SBV Functions, BUMI 11-B, 375-382, 1997.


Carlo Mantegazza
Curvature Varifolds with Boundary, J. Diff. Geom. 43, 807-843, 1996.

Degree Thesis

Su Alcune Definizioni Deboli di Curvatura per Insiemi Non Orientati
Math. Dept. University of Pisa, 1993 - Advisor: Luigi Ambrosio

Other Math Stuff

Universal Interpolation Inequalities

Erdös Number 3