| Title:
|
Webster pseudo-torsion formulas of CR manifolds (English) |
| Author:
|
Yin, Ho Chor |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
59 |
| Issue:
|
4 |
| Year:
|
2023 |
| Pages:
|
351-367 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| 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 $\mathbb{C}^{n+1}$. (English) |
| Keyword:
|
pseudohermitian manifold |
| Keyword:
|
real hypersuface |
| Keyword:
|
Webster pseudo-torsion |
| Keyword:
|
CR geometry |
| MSC:
|
53A32 |
| idZBL:
|
Zbl 07790552 |
| idMR:
|
MR4641951 |
| DOI:
|
10.5817/AM2023-4-351 |
| . |
| Date available:
|
2023-08-15T13:33:36Z |
| Last updated:
|
2024-02-13 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/151792 |
| . |
| Reference:
|
[1] Chern, S.S., Moser, J.: Real hypersurfaces in complex manifolds.Acta Math. 133 (1974), 219–271. MR 0425155, 10.1007/BF02392146 |
| Reference:
|
[2] Kan, S.J.: The asymptotic expansion of a CR invariant and Grauert tubes.Math. Ann. 304 (1996), 63–92. MR 1367883, 10.1007/BF01446285 |
| Reference:
|
[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. MR 2288223, 10.1007/s11425-006-2071-8 |
| Reference:
|
[4] Luk, H.S.: . |
| Reference:
|
[5] Tanaka, N.: A differential geometric study of strongly pseudoconvex $CR$ manifold.Kinokuniya Book-Store Co., 1975. MR 0399517 |
| Reference:
|
[6] Webster, S.M.: Pseudohermitian structure on a real hypersurface.J. Differential Geom. 13 (1978), 265–270. MR 0520599, 10.4310/jdg/1214434345 |
| . |
