An Approximation of The Bishop Invariant for 3- Manifolds
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-negative real number (or infinity). It is a biholomorphism
invariant that gives information regarding the local hull of holomorphy of the manifold near the complex tangent. In this paper,
we find an approximation for the Bishop invariant near a non-exceptional complex tangent in a 3- manifold.
Index Terms - Bishop Invariant, Complex Tangents, Real Submanifolds of Complex Space