Isometric Immersions

The fundamental equations and the Fundamental Theorem of isometric immersions. Umbilical and minimal immersions. Convex hypersurfaces. Submanifolds with non-positive curvature. Isometric immersions between spaces of constant sectional curvature. Local and global isometric rigidity. Genuine local and global rigidity. Conformal Immersions. Conformally flat submanifolds. Real Kahler submanifolds. Other Topics.

Referências:
DO CARMO, M. – O Método do Referencial Móvel. Rio de Janeiro, III ELAM, IMPA, 1976.
DAJCZER, M. et al – Submanifolds and Isometric Immersions, Houston, Publish or Perish, 1990.
RODRIGUEZ, L. – Geometria das Subvariedades. Rio de Janeiro, Monografias de Matemática, IMPA, 1976.
SPIVAK, M. – A Comprehensive Introduction to Differential Geometry, Berkeley, Publish or Perish, 1970-75.

* Standard program. The teacher has the autonomy to make any changes