All Stories

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

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

    Professor Carlo Mantegazza

  2. 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

  3. Lectures on Curvature Flow of Networks

    Article • January 2019, Springer Science + Business Media

    Professor Carlo Mantegazza

  4. 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

  5. The Ricci–Bourguignon flow

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

    Professor Carlo Mantegazza

  6. Ancient solutions of semilinear heat equations on Riemannian manifolds

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

    Professor Carlo Mantegazza

  7. 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

  8. Ricci Flow and Geometric Applications

    Article • January 2016

    Professor Carlo Mantegazza

  9. Locally conformally flat ancient Ricci flows

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

    Professor Carlo Mantegazza

  10. 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

  11. 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

  12. A note on Codazzi tensors

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

    Professor Carlo Mantegazza

  13. On the distributional Hessian of the distance function

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

    Professor Carlo Mantegazza

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

    Article • Advances in Mathematics, January 2014, Elsevier

    Professor Carlo Mantegazza

  15. A Note on Grayson's theorem

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

    Professor Carlo Mantegazza

  16. Flow by mean curvature inside a moving ambient space

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

    Professor Carlo Mantegazza

  17. Locally conformally flat quasi-Einstein manifolds

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

    Professor Carlo Mantegazza

  18. 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

  19. Bach-flat gradient steady Ricci solitons

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

    Professor Carlo Mantegazza

  20. Lecture Notes on Mean Curvature Flow

    Article • January 2011, Springer Science + Business Media

    Professor Carlo Mantegazza, Carlo Mantegazza

  21. Evolution of Geometric Quantities

    Article • January 2011, Springer Science + Business Media

    Professor Carlo Mantegazza

  22. Type II Singularities

    Article • January 2011, Springer Science + Business Media

    Professor Carlo Mantegazza

  23. Conclusions and Research Directions

    Article • January 2011, Springer Science + Business Media

    Professor Carlo Mantegazza

  24. Definition and Short Time Existence

    Article • January 2011, Springer Science + Business Media

    Professor Carlo Mantegazza

  25. Monotonicity Formula and Type I Singularities

    Article • January 2011, Springer Science + Business Media

    Professor Carlo Mantegazza

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

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

    Professor Carlo Mantegazza

  27. On Perelman’s dilaton

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

    Professor Carlo Mantegazza

  28. Ricci solitons: the equation point of view

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

    Professor Carlo Mantegazza

  29. 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

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

    Article • January 2004, Springer Science + Business Media

    Professor Carlo Mantegazza

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

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

    Professor Carlo Mantegazza

  32. Smooth geometric evolutions of hypersurfaces

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

    Professor Carlo Mantegazza

  33. 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

  34. 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

  35. 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

  36. Curvature and distance function from a manifold

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

    Professor Carlo Mantegazza