All Stories

  1. Stability for the Surface Diffusion Flow

    Article • Calculus of Variations and Partial Differential Equations, December 2025, Springer Science + Business Media

    Professor Carlo Mantegazza

  2. A Note on Ricci–Pinched Three–Manifolds

    Article • Journal of Geometric Analysis, July 2025, Springer Science + Business Media

    Professor Carlo Mantegazza

  3. Type-0 singularities in the network flow – Evolution of trees

    Article • Journal für die reine und angewandte Mathematik (Crelles Journal), September 2022, De Gruyter

    Professor Carlo Mantegazza

  4. Semilinear Li and Yau inequalities

    Article • Annali di Matematica Pura ed Applicata (1923 -), September 2022, Springer Science + Business Media

    Professor Carlo Mantegazza

  5. On

    Article • Proceedings of the American Mathematical Society, January 2022, American Mathematical Society (AMS)

    Professor Carlo Mantegazza

  6. A matrix Harnack inequality for semilinear heat equations

    Article • Mathematics in Engineering, January 2022, American Institute of Mathematical Sciences (AIMS)

    Professor Carlo Mantegazza

  7. Global existence and stability for the modified Mullins–Sekerka and surface diffusion flow

    Article • Mathematics in Engineering, January 2022, American Institute of Mathematical Sciences (AIMS)

    Professor Carlo Mantegazza

  8. A triviality result for semilinear parabolic equations

    Article • Mathematics in Engineering, January 2022, American Institute of Mathematical Sciences (AIMS)

    Professor Carlo Mantegazza

  9. Asymptotic convergence of evolving hypersurfaces

    Article • Revista Matemática Iberoamericana, December 2021, European Mathematical Publishing House

    Professor Carlo Mantegazza

  10. Some elementary questions in the calculus of variations

    Article • Rendiconti del Seminario Matematico della Università di Padova, May 2021, European Mathematical Publishing House

    Professor Carlo Mantegazza

  11. A Survey of the Elastic Flow of Curves and Networks

    Article • Milan Journal of Mathematics, April 2021, Springer Science + Business Media

    Professor Carlo Mantegazza

  12. The Łojasiewicz–Simon inequality for the elastic flow

    Article • Calculus of Variations and Partial Differential Equations, February 2021, Springer Science + Business Media

    Professor Carlo Mantegazza

  13. Ancient solutions of superlinear heat equations on Riemannian manifolds

    Article • Communications in Contemporary Mathematics, July 2020, World Scientific Pub Co Pte Lt

    Professor Carlo Mantegazza

  14. A Liouville Theorem for Superlinear Heat Equations on Riemannian Manifolds

    Article • Milan Journal of Mathematics, October 2019, Springer Science + Business Media

    Professor Carlo Mantegazza

  15. Existence of a lens-shaped cluster of surfaces self-shrinking by mean curvature

    Article • Mathematische Annalen, August 2019, Springer Science + Business Media

    Professor Carlo Mantegazza

  16. Lectures on Curvature Flow of Networks

    Article • January 2019, Springer Science + Business Media

    Professor Carlo Mantegazza

  17. Non–existence of theta–shaped self–similarly shrinking networks moving by curvature

    Article • Communications in Partial Differential Equations, March 2018, Taylor & Francis

    Professor Carlo Mantegazza

  18. The Ricci–Bourguignon flow

    Article • Pacific Journal of Mathematics, March 2017, Mathematical Sciences Publishers

    Professor Carlo Mantegazza

  19. The Cotton Tensor and the Ricci Flow

    Article • Geometric Flows, January 2017, Portico

    Professor Carlo Mantegazza

  20. Ancient solutions of semilinear heat equations on Riemannian manifolds

    Article • Rendiconti Lincei Matematica e Applicazioni, January 2017, European Mathematical Publishing House

    Professor Carlo Mantegazza

  21. Networks self-similarly moving by curvature with two triple junctions

    Article • Rendiconti Lincei Matematica e Applicazioni, January 2017, European Mathematical Publishing House

    Professor Carlo Mantegazza

  22. Motion by curvature of networks with two triple junctions

    Article • Geometric Flows, October 2016, Portico

    Professor Carlo Mantegazza

  23. Ricci Flow and Geometric Applications

    Article • January 2016

    Professor Carlo Mantegazza

  24. Locally conformally flat ancient Ricci flows

    Article • Analysis & PDE, May 2015, Mathematical Sciences Publishers

    Professor Carlo Mantegazza

  25. Short-time existence of the second order renormalization group flow in dimension three

    Article • Discrete and Continuous Dynamical Systems, May 2015, American Institute of Mathematical Sciences (AIMS)

    Professor Carlo Mantegazza

  26. Perelman's entropy functional at Type I singularities of the Ricci flow

    Article • Journal für die reine und angewandte Mathematik (Crelles Journal), January 2015, De Gruyter

    Professor Carlo Mantegazza

  27. A note on Codazzi tensors

    Article • Mathematische Annalen, November 2014, Springer Science + Business Media

    Professor Carlo Mantegazza

  28. On the distributional Hessian of the distance function

    Article • Pacific Journal of Mathematics, August 2014, Mathematical Sciences Publishers

    Professor Carlo Mantegazza

  29. A flow tangent to the Ricci flow via heat kernels and mass transport

    Article • Advances in Mathematics, January 2014, Elsevier

    Professor Carlo Mantegazza

  30. A Note on Grayson's theorem

    Article • Rendiconti del Seminario Matematico della Università di Padova, January 2014, European Mathematical Publishing House

    Professor Carlo Mantegazza

  31. Flow by mean curvature inside a moving ambient space

    Article • Journal of Evolution Equations, April 2013, Springer Science + Business Media

    Professor Carlo Mantegazza

  32. Locally conformally flat quasi-Einstein manifolds

    Article • Journal für die reine und angewandte Mathematik (Crelles Journal), January 2013, De Gruyter

    Professor Carlo Mantegazza

  33. ON THE GLOBAL STRUCTURE OF CONFORMAL GRADIENT SOLITONS WITH NONNEGATIVE RICCI TENSOR

    Article • Communications in Contemporary Mathematics, December 2012, World Scientific Pub Co Pte Lt

    Professor Carlo Mantegazza

  34. Bach-flat gradient steady Ricci solitons

    Article • Calculus of Variations and Partial Differential Equations, November 2012, Springer Science + Business Media

    Professor Carlo Mantegazza

  35. Lecture Notes on Mean Curvature Flow

    Article • January 2011, Springer Science + Business Media

    Professor Carlo Mantegazza, Carlo Mantegazza

  36. Evolution of Geometric Quantities

    Article • January 2011, Springer Science + Business Media

    Professor Carlo Mantegazza

  37. Type II Singularities

    Article • January 2011, Springer Science + Business Media

    Professor Carlo Mantegazza

  38. Conclusions and Research Directions

    Article • January 2011, Springer Science + Business Media

    Professor Carlo Mantegazza

  39. Definition and Short Time Existence

    Article • January 2011, Springer Science + Business Media

    Professor Carlo Mantegazza

  40. Monotonicity Formula and Type I Singularities

    Article • January 2011, Springer Science + Business Media

    Professor Carlo Mantegazza

  41. The Evolution of the Weyl Tensor under the Ricci Flow

    Article • Annales de l’institut Fourier, January 2011, Cellule MathDoc/CEDRAM

    Professor Carlo Mantegazza

  42. On Perelman’s dilaton

    Article • Geometriae Dedicata, September 2009, Springer Science + Business Media

    Professor Carlo Mantegazza

  43. Ricci solitons: the equation point of view

    Article • manuscripta mathematica, September 2008, Springer Science + Business Media

    Professor Carlo Mantegazza

  44. Singular perturbations of mean curvature flow

    Article • Journal of Differential Geometry, March 2007, International Press of Boston

    Professor Carlo Mantegazza

  45. Some properties of the distance function and a conjecture of De Giorgi

    Article • Journal of Geometric Analysis, June 2004, Springer Science + Business Media

    Professor Carlo Mantegazza

  46. Evolution by Curvature of Networks of Curves in the Plane

    Article • January 2004, Springer Science + Business Media

    Professor Carlo Mantegazza

  47. Hamilton--Jacobi Equations and Distance Functions on Riemannian Manifolds

    Article • Applied Mathematics & Optimization, December 2002, Springer Science + Business Media

    Professor Carlo Mantegazza

  48. Smooth geometric evolutions of hypersurfaces

    Article • Geometric and Functional Analysis, May 2002, Springer Science + Business Media

    Professor Carlo Mantegazza

  49. Second Order Singular Perturbation Models for Phase Transitions

    Article • SIAM Journal on Mathematical Analysis, January 2000, Society for Industrial & Applied Mathematics (SIAM)

    Professor Carlo Mantegazza

  50. Line energies for gradient vector fields in the plane

    Article • Calculus of Variations and Partial Differential Equations, December 1999, Springer Science + Business Media

    Professor Carlo Mantegazza

  51. On some notions of tangent space to a measure

    Article • Proceedings of the Royal Society of Edinburgh Section A Mathematics, January 1999, Cambridge University Press

    Professor Carlo Mantegazza

  52. Curvature and distance function from a manifold

    Article • Journal of Geometric Analysis, September 1998, Springer Science + Business Media

    Professor Carlo Mantegazza

  53. Curvature varifolds with boundary

    Article • Journal of Differential Geometry, January 1996, International Press of Boston

    Professor Carlo Mantegazza