Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 
 

 

On the intersection of varieties with a totally real submanifold


Author: Howard Jacobowitz
Journal: Proc. Amer. Math. Soc. 101 (1987), 127-130
MSC: Primary 32F25
DOI: https://doi.org/10.1090/S0002-9939-1987-0897082-3
MathSciNet review: 897082
Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: In their work on uniqueness in the Cauchy problem for CR functions, Baouendi and Treves have utilized a condition on a totally real submanifold $ M$ in a neighborhood of one of its points $ p$: There should exist a variety $ X$ such that the component containing $ p$ of $ M - \left( {M \cap X} \right)$ has compact closure in $ M$. All real analytic submanifolds satisfy this condition. In this paper, a $ {C^\infty }$ submanifold is constructed which does not. Uniqueness in the corresponding Cauchy problem remains unresolved.


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


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 32F25

Retrieve articles in all journals with MSC: 32F25


Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1987-0897082-3
Keywords: Cauchy problem for CR functions, totally real submanifolds
Article copyright: © Copyright 1987 American Mathematical Society

American Mathematical Society