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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.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…