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Article

Keywords:
pseudohermitian manifold; real hypersuface; Webster pseudo-torsion; CR geometry
Summary:
In this article, we obtain a formula for Webster pseudo-torsion for the link of an isolated singularity of a $n$-dimensional complex subvariety in $\mathbb{C}^{n+1}$ and we present an alternative proof of the Li-Luk formula for Webster pseudo-torsion for a real hypersurface in $\mathbb{C}^{n+1}$.
References:
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[3] Li, S.Y., Luk, H.S.: An explicit formula for the Webster torsion of a pseudo-hermitian manifold and its application to torsion-free hypersurfaces. Sci. China Ser. A 49 (2006), 1662–1682. DOI 10.1007/s11425-006-2071-8 | MR 2288223
[4] Luk, H.S.:
[5] Tanaka, N.: A differential geometric study of strongly pseudoconvex $CR$ manifold. Kinokuniya Book-Store Co., 1975. MR 0399517
[6] Webster, S.M.: Pseudohermitian structure on a real hypersurface. J. Differential Geom. 13 (1978), 265–270. DOI 10.4310/jdg/1214434345 | MR 0520599
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