Contacts
- n/d
- n/d
- luciano.mari@unito.it
- Dipartimento di Matematica, Palazzo Campana, Via Carlo Alberto 10, Torino
- https://dipmath.campusnet.unito.it/persone/luciano.mari
- Contacts VCard
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At
- Department of Mathematics "Giuseppe Peano"
- Dipartimento di Matematica "Giuseppe Peano"
- Corso di laurea in Fisica
- Corso di laurea in matematica
- Corso di laurea in matematica per la Finanza e l'Assicurazione
- Laurea magistrale in Matematica
- Laurea Magistrale in Medicina e Chirurgia - sede di Torino
- PhD in Mathematics
- PhD in Pure and Applied Mathematics
Curriculum vitae
Courses
- Complementi di Geometria (MAT0183 )
Laurea magistrale in Matematica - Curvature and topology in Riemannian Geometry
PhD in Pure and Applied Mathematics - Geometria e Algebra Lineare I A (MFN1308)
Corso di laurea in Fisica
Research topics
My research lies in the field of Geometric Analysis, in particular I worked on the following topics:
- maximum principles at infinity on Riemannian manifolds, relations to (fully)nonlinear potential theory, and geometric applications;
- Yamabe type problems (prescribed scalar curvature problems) on noncompact manifolds;
- Positive energy theorems in General Relativity;
- Geometry of minimal submanifolds, especially of dimension higher than 2;
- Spectrum of the Laplace-Beltrami operators on Riemannian manifolds, with emphasis on immersed submanifolds with bounded mean curvature;
- Mean curvature flow and inverse mean curvature flow;
- Mean curvature operators and the geometry of entire graphs with prescribed mean curvature, with emphasis on capillary and minimal ones;
- Overdetermined elliptic problems;
- The Lorentzian mean curvature equation and the Born-Infeld model.
Academic bodies