5 papers · 1 filter
Extremal discs and analytic continuation of product CR maps
A. Scalari, A. Tumanov
Let M be a real analytic strictly pseudoconvex manifold of higher codimension in complex space, and let M' be the cartesian product of two or more compact real analytic strictly co…
Pseudoholomorphic discs near an elliptic point
Alexandre Sukhov, Alexander Tumanov
We prove the existence and study the geometry of Bishop discs near an elliptic point of a real n-dimensional submanifold of an almost complex n-dimensional manifold.
Testing analyticity on circles
A. Tumanov
Consider a continuous one parameter family of circles in complex plane that contains two circles lying in the exterior of one another. Under mild assumptions on the family, we prov…
A Morera type theorem in the strip
Alexander Tumanov
We prove the following result. Let f be a continuous function in the closed infinite strip in complex plane. Suppose the restriction of f to every circle inscribed in the strip ext…
On the regularity of CR mappings in higher codimension
Alexander Tumanov
We give a proof of the regularity of Holder CR homeomorphisms of strictly pseudo convex CR manifolds of higher codimension.