## Advanced Studies in Pure Mathematics

### Deformation Theory for the Hyperplane Line Bundle on $P^{1}$

#### Abstract

We develop a correspondence between deformations of the standard CR structure on $S^3$ and deformations of formal neighbourhoods of the hyperplane bundle over ${\mathbb{P}}^1$; this correspondence leads to a geometric description of obstructions to the embeddability of CR structures.

#### Article information

Dates
Received: 17 January 1996
First available in Project Euclid: 15 August 2018

Permanent link to this document
https://projecteuclid.org/ euclid.aspm/1534361105

Digital Object Identifier
doi:10.2969/aspm/02510041

Mathematical Reviews number (MathSciNet)
MR1476237

Zentralblatt MATH identifier
0892.32016

#### Citation

Bland, John; Duchamp, Thomas. Deformation Theory for the Hyperplane Line Bundle on $P^{1}$. CR-Geometry and Overdetermined Systems, 41--59, Mathematical Society of Japan, Tokyo, Japan, 1997. doi:10.2969/aspm/02510041. https://projecteuclid.org/euclid.aspm/1534361105