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Stability of the
existence of a pseudo-Einstein contact form
Yuya Takeuchi |
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Vol. 303 (2019), No. 2, 757–765
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Abstract |
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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 pseudo-Einstein contact form is preserved under deformations as a real hypersurface in a fixed complex manifold of complex dimension at least three. |
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Keywords
pseudo-Einstein contact form, Lee conjecture, Bott–Chern
class
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Mathematical Subject Classification 2010
Primary: 32V05
Secondary: 32E10, 32V15
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Milestones
Received: 24 April 2019
Accepted: 25 June 2019
Published: 4 January 2020
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Authors |
| Yuya Takeuchi | |
| Department of Mathematics Graduate School of Science Osaka University Machikaneyama-cho, Toyonaka Osaka Japan |
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