Lie derivatives on real hypersurfaces in a complex projective space
Local isometric immersions of R2 into R4.
Local solvability of degenerate Monge-Ampère equations and applications to geometry.
Locally symmetric immersions
We use reflections with respect to submanifolds and related geometric results to develop, inspired by the work of Ferus and other authors, in a unified way a local theory of extrinsic symmetric immersions and submanifolds in a general analytic Riemannian manifold and in locally symmetric spaces. In particular we treat the case of real and complex space forms and study additional relations with holomorphic and symplectic reflections when the ambient space is almost Hermitian. The global case is also...