Remote Access Transactions of the American Mathematical Society
Green Open Access

Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 
 

 

Rigidity of pseudoconformal connections


Authors: Michael Markowitz and Roger Schlafly
Journal: Trans. Amer. Math. Soc. 276 (1983), 133-135
MSC: Primary 32F25; Secondary 53B15
DOI: https://doi.org/10.1090/S0002-9947-1983-0684497-2
MathSciNet review: 684497
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: Let ${M^{2n - 1}}(n \geqslant 3)$ be a strictly pseudoconvex abstract ${\text {CR}}$-hypersurface ${\text {CR}}$-immersed in the unit sphere in ${{\mathbf {C}}^N}$. We show that the pseudoconformal connection induced on $M$ by the standard flat connection agrees with the intrinsic normal connection of Cartan-Chern-Tanaka if and only if $M$ is pseudoconformally flat. In this case $M$ is a piece of the transverse intersection of ${S^{2N - 1}}$ with a complex $n$-plane in ${{\mathbf {C}}^N}$.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC: 32F25, 53B15

Retrieve articles in all journals with MSC: 32F25, 53B15


Additional Information

Article copyright: © Copyright 1983 American Mathematical Society