Lorenzo Mazzieri
[mazzieri]
Full Professor, Università degli Studi di Trento
Email: lorenzo.mazzieri AT unitn.it
Home-page: https://sites.google.com/site/mazzierihome
Available papers (26):
[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) - L. Benatti - M. Fogagnolo - L. Mazzieri (Analysis & PDE)
Minkowski Inequality on complete Riemannian manifolds with nonnegative Ricci curvature (2024) - L. Benatti - M. Fogagnolo - L. Mazzieri (SIGMA)
Nonlinear isocapacitary concepts of mass in nonnegative scalar curvature (2023) - 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) - M. Fogagnolo - L. Mazzieri (Accepted Paper: Journal of Functional Analysis)
Minimising hulls, p-capacity and isoperimetric inequality on complete Riemannian manifolds (2022) - L. Benatti - M. Fogagnolo - L. Mazzieri (Mathematische Annalen)
The asymptotic behaviour of $p$-capacitary potentials in Asymptotically Conical manifolds (2022) - M. Fogagnolo - A. Malchiodi - L. Mazzieri (Journal of Geometric Analysis)
A note on the critical Laplace Equation and Ricci curvature (2022) - L. Benatti - M. Fogagnolo - L. Mazzieri (Accepted Paper: Communications on Pure and Applied Mathematics)
On the Isoperimetric Riemannian Penrose Inequality (2022) - V. Agostiniani - L. Mazzieri - F. Oronzio (Mathematics in Engineering)
A geometric capacitary inequality for sub--static manifolds with harmonic potentials (2021) - V. Agostiniani - L. Mazzieri - F. Oronzio (Communications in Mathematical Physics)
A Green's function proof of the positive mass theorem (2021) - S. Borghini - L. Mazzieri (Communications in Mathematical Physics)
On the mass of static metrics with positive cosmological constant - II (2020) - V. Agostiniani - M. Fogagnolo - L. Mazzieri (Archive for Rational Mechanics and Analysis)
Minkowski Inequalities via Nonlinear Potential Theory (2019) - S. Borghini - L. Mazzieri (Contemporary Research in Elliptic PDE's and Related Topics)
Monotonicity formulas for static metrics with non-zero cosmological constant (2019) - M. Fogagnolo - L. Mazzieri - A. Pinamonti (Ann. Inst. H. Poincaré Anal. Non Linéaire)
Geometric aspects of p-capacitary potentials (2018) - V. Agostiniani - M. Fogagnolo - L. Mazzieri (Inventiones Mathematicae)
Sharp geometric inequalities for closed hypersurfaces in manifolds with nonnegative Ricci curvature (2018) - G. Catino - L. Cremaschi - Z. Djadli - C. Mantegazza - L. Mazzieri (Pacific J. Math.)
The Ricci-Bourguignon Flow (2017) - S. Borghini - L. Mazzieri (Classical and Quantum Gravity)
On the mass of static metrics with positive cosmological constant - I (2017) - S. Borghini - G. Mascellani - L. Mazzieri (Transactions of the American Mathematical Society)
Some Sphere Theorems in Linear Potential Theory (2017) - G. Catino - L. Mazzieri (Nonlinear Anal.)
Gradient Einstein solitons (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) - G. Catino - L. Mazzieri - S. Mongodi (Comm. Cont. Math.)
Rigidity of gradient Einstein shrinkers (2015) - H. D. Cao - G. Catino - Q. Chen - C. Mantegazza - L. Mazzieri (Calc. Var. Partial Differential Equations)
Bach-Flat Gradient Steady Ricci Solitons (2014) - G. Catino - L. Mazzieri (J. Geom. Anal.)
Connected sum construction for sigma$_k$-Yamabe metrics (2013) - G. Catino - C. Mantegazza - L. Mazzieri - M. Rimoldi (J. Reine Angew. Math. (Crelle's Journal))
Locally Conformally Flat Quasi-Einstein Manifolds (2013) - G. Catino - C. Mantegazza - L. Mazzieri (Commun. Contemp. Math.)
On the Global Structure of Conformal Gradient Solitons with Nonnegative Ricci Tensor (2012)
Seminars:
- 14 oct 2020: Serrin-type theorems for domains with disconnected boundary.
- 7 may 2014: A geometric approach to some overdetermined problems in potential theory
- 25 jan 2012: Gradient Einstein solitons
Speaker:
- 13 oct 2025 - 17 oct 2025: Workshop "Optimal transport and metric geometry across structures"
- 23 jun 2025 - 27 jun 2025: Topics in Geometric Analysis
- 12 sep 2024 - 13 sep 2024: DIFFERENTIAL EVOLUTIVE PROBLEMS IN SPACES WITH SINGULARITIES
- 4 jun 2018 - 8 jun 2018: Recent advances in Geometric Analysis
- 20 feb 2017 - 24 feb 2017: France-Italy meeting in Geometric Analysis
Organizer:
- 1 sep 2025 - 3 sep 2025: Three days between Analysis and Geometry in Trento - 4° Edition
- 14 jul 2025 - 18 jul 2025: PRIN school on Geometry and Gravity
- 29 aug 2022 - 31 aug 2022: Three days between Analysis and Geometry in Trento