20410952 - AM560 - Geometric analysis

To acquire a good knowledge of general methods and techniques necessary to the study of partial differential equations in relation with geometric-differential.
problems on surfaces and manifolds

Curriculum

scheda docente | materiale didattico

Testi Adottati

"Introduction à l'analyse non linéaire sur les variétés", Emmanuel Hebey, Diderot Editeur

Modalità Valutazione

Seminar on a topic to be agreed.

scheda docente | materiale didattico

Programma

Introduction to Riemannian geometry.
The problem of prescribing Gaussian curvature on compact surfaces.
The problem of prescribing scalar curvature on manifolds of dimension greater or equal to three.

Testi Adottati

"Introduction à l'analyse non linéaire sur les variétés", E. Hebey, Diderot Editeur

Bibliografia Di Riferimento

"Introduction à l'analyse non linéaire sur les variétés", E. Hebey, Diderot Editeur

Modalità Frequenza

Attending classes is not mandatory but it is strongly advised.

Modalità Valutazione

Oral exam in seminarial form.

scheda docente | materiale didattico

Testi Adottati

"Introduction à l'analyse non linéaire sur les variétés", Emmanuel Hebey, Diderot Editeur

Modalità Valutazione

Seminar on a topic to be agreed.

scheda docente | materiale didattico

Programma

Introduction to Riemannian geometry.
The problem of prescribing Gaussian curvature on compact surfaces.
The problem of prescribing scalar curvature on manifolds of dimension greater or equal to three.

Testi Adottati

"Introduction à l'analyse non linéaire sur les variétés", E. Hebey, Diderot Editeur

Bibliografia Di Riferimento

"Introduction à l'analyse non linéaire sur les variétés", E. Hebey, Diderot Editeur

Modalità Frequenza

Attending classes is not mandatory but it is strongly advised.

Modalità Valutazione

Oral exam in seminarial form.