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math.DG2018
Stability of the existence of a pseudo-Einstein contact form
Yuya Takeuchi
A pseudo-Einstein contact form plays a crucial role in defining some global invariants of closed strictly pseudoconvex CR manifolds. In this paper, we prove that the existence of a…
math.CV2018
A Constraint on Chern Classes of Strictly Pseudoconvex CR Manifolds
Yuya Takeuchi
This short paper gives a constraint on Chern classes of closed strictly pseudoconvex CR manifolds (or equivalently, closed holomorphically fillable contact manifolds) of dimension…
math.DG2018
On the second variation of the Graham-Witten energy
Yuya Takeuchi
The area renormalization procedure gives an invariant of even-dimensional closed submanifolds in a conformal manifold, which we call the Graham-Witten energy, and it is a generaliz…