6 papers · 1 filter
Holomorphic Hulls for Compact 3-Manifolds
Ali M. Elgindi
We demonstrate the different possible structures for holomorphic hulls for embeddings of compact real 3-manifolds along the set of complex tangents…
On the Topological Structure Of Complex Tangencies to Embeddings of into
Ali M. Elgindi
In the mid-1980's, M. Gromov used his machinery of the -principle to prove that there exists totally real embeddings of into . Subsequently, Patrick Ahern an…
Complex Tangencies to Embeddings of Heisenberg Groups and Odd-Dimensional Spheres
Ali M. Elgindi
The notion of a complex tangent arises for embeddings of real manifolds into complex spaces. It is of particular interest when studying embeddings of real -dimensional manifolds…
On the Bishop Invariants of Embeddings of into
Ali M. Elgindi
The Bishop invariant is a powerful tool in the analysis of real submanifolds of complex space that associates to every (non-degenerate) complex tangent of the embedding a non-negat…
A Topological Obstruction to the Removal of a Degenerate Complex Tangent and Some Related Homotopy and Homology Groups
Ali M. Elgindi
In this article, we derive a topological obstruction to the removal of a isolated degenerate complex tangent to an embedding of a 3-manifold into (without affecting…
Totally Real Perturbations and Non-Degenerate Embeddings of
Ali M. Elgindi
In this article, we demonstrate methods for the local removal and modification of complex tangents to embeddings of into . In particular, given any embedding of…