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

teacher profile | teaching materials

Core Documentation

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

Type of evaluation

Seminar on a topic to be agreed.

teacher profile | teaching materials

Programme

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.

Core Documentation

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

Reference Bibliography

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

Attendance

Attending classes is not mandatory but it is strongly advised.

Type of evaluation

Oral exam in seminarial form.

teacher profile | teaching materials

Core Documentation

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

Type of evaluation

Seminar on a topic to be agreed.

teacher profile | teaching materials

Programme

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.

Core Documentation

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

Reference Bibliography

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

Attendance

Attending classes is not mandatory but it is strongly advised.

Type of evaluation

Oral exam in seminarial form.