Please note: In order to keep Hive up to date and provide users with the best features, we are no longer able to fully support Internet Explorer. The site is still available to you, however some sections of the site may appear broken. We would encourage you to move to a more modern browser like Firefox, Edge or Chrome in order to experience the site fully.

A New Approach to the Local Embedding Theorem of CR-structures of N 4 (the Local Solvability for the Operator B in the Abstract Sense), Paperback / softback Book

A New Approach to the Local Embedding Theorem of CR-structures of N 4 (the Local Solvability for the Operator B in the Abstract Sense) Paperback / softback

Part of the Memoirs of the American Mathematical Society series

Paperback / softback

Description

This book is aimed at researchers in complex analysis, several complex variables, or partial differential equations.

Kuranishi proved that any abstract strongly pseudo convex CR-structure of real dimension $\geq 9$ can be locally embedded in a complex euclidean space.

For the case of real dimension $=3$, there is the famous Nirenberg counter example, but the cases of real dimension $=5$ or 7 were left open.

The author of this book establishes the result for real dimension $=7$ and, at the same time, presents a new approach to Kuranishi's result.

Information

Information