5 citations · 10 across the 9 of their papers we have counts for
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Rigidity for proper holomorphic ball maps with degenerate CR Gauss map
Tianzhi Hu, Wanke Yin, Pingsan Yuan
Let and be integers with , and let be a proper holomorphic map that admits a -smooth extension to the boundary. We pro…
Bounding smooth Levi-flat hypersurfaces in a Stein manifold
Hanlong Fang, Xiaojun Huang, Wanke Yin +1
This paper is concerned with the problem of constructing a smooth Levi-flat hypersurface locally or globally attached to a real codimension two submanifold in , or…
Regular types and order of vanishing along a set of non-integrable vector fields
Xiaojun Huang, Wanke Yin
This paper has two parts. We first survey recent efforts on the Bloom conjecture which still remains open in the case of complex dimension at least 4. Bloom's conjecture concerns t…
D'Angelo conjecture in the third gap interval
Shanyu Ji, Wanke Yin
We show the D'Angelo conjecture holds in the third gap interval. More precisely, we prove that the degree of any rational proper holomorphic map from to $\mathbb{B}^…
Regular multi-types and the Bloom conjecture
Xiaojun Huang, Wanke Yin
We prove equality of the vector field (iterated commutator) type and the regular contact type, which together with the Bloom theorem on equality of the Levi-form type and the regul…
The CR immersion into a sphere with the degenerate CR Gauss map
Wanke Yin, Yuan Yuan, Yuan Zhang
It is a classical problem in algebraic geometry to characterize the algebraic subvariety by using the Gauss map. In this note, we try to develop the analogue theory in CR geometry.…