Complete real Kähler Euclidean hypersurfaces are cylinders
Luis A. Florit[1]; Fangyang Zheng[2]
- [1] IMPA: Estrada Dona Castorina 110 22460–320, Rio de Janeiro (Brazil)
- [2] Ohio State University Columbus, OH 43210 (USA) and Zhejiang University IMS Hanzhou (China)
Annales de l’institut Fourier (2007)
- Volume: 57, Issue: 1, page 155-161
- ISSN: 0373-0956
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topFlorit, Luis A., and Zheng, Fangyang. "Complete real Kähler Euclidean hypersurfaces are cylinders." Annales de l’institut Fourier 57.1 (2007): 155-161. <http://eudml.org/doc/10216>.
@article{Florit2007,
abstract = {In this note we show that any complete Kähler (immersed) Euclidean hypersurface $M^\{2n\}\subset \mathbb\{R\}^\{2n+1\}$ must be the product of a surface in $\mathbb\{R\}^3$ with an Euclidean factor $\mathbb\{C\}^\{n-1\}\cong \mathbb\{R\}^\{2n-2\}$.},
affiliation = {IMPA: Estrada Dona Castorina 110 22460–320, Rio de Janeiro (Brazil); Ohio State University Columbus, OH 43210 (USA) and Zhejiang University IMS Hanzhou (China)},
author = {Florit, Luis A., Zheng, Fangyang},
journal = {Annales de l’institut Fourier},
keywords = {Kähler submanifolds; cylinders; splitting},
language = {eng},
number = {1},
pages = {155-161},
publisher = {Association des Annales de l’institut Fourier},
title = {Complete real Kähler Euclidean hypersurfaces are cylinders},
url = {http://eudml.org/doc/10216},
volume = {57},
year = {2007},
}
TY - JOUR
AU - Florit, Luis A.
AU - Zheng, Fangyang
TI - Complete real Kähler Euclidean hypersurfaces are cylinders
JO - Annales de l’institut Fourier
PY - 2007
PB - Association des Annales de l’institut Fourier
VL - 57
IS - 1
SP - 155
EP - 161
AB - In this note we show that any complete Kähler (immersed) Euclidean hypersurface $M^{2n}\subset \mathbb{R}^{2n+1}$ must be the product of a surface in $\mathbb{R}^3$ with an Euclidean factor $\mathbb{C}^{n-1}\cong \mathbb{R}^{2n-2}$.
LA - eng
KW - Kähler submanifolds; cylinders; splitting
UR - http://eudml.org/doc/10216
ER -
References
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