A normal form for small CR-deformations of the standard CR-structure on the (2n+1)-sphere is presented. The space of normal forms is parameterized by a single function on the sphere. For n>1, the normal form is used to obtain explicit embeddings into . For n=1, the cohomological obstruction to embeddability is identified.
@article{bwmeta1.element.bwnjournal-article-bcpv31z1p99bwm,
author = {Bland, John and Duchamp, Tom},
title = {Contact geometry and CR-structures on spheres},
journal = {Banach Center Publications},
volume = {31},
year = {1995},
pages = {99-113},
zbl = {0831.32011},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-bcpv31z1p99bwm}
}
Bland, John; Duchamp, Tom. Contact geometry and CR-structures on spheres. Banach Center Publications, Tome 31 (1995) pp. 99-113. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-bcpv31z1p99bwm/
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