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The Diederich-Forn{\ae}ss exponent and non-existence of Stein domains with Levi-flat boundaries by Fu, Siqi; Shaw, Mei-Chi is a scholarly article available to read on EtoBox.

What is The Diederich-Forn{\ae}ss exponent and non-existence of Stein domains with Levi-flat boundaries about?

We study the Diederich-Forn{\ae}ss exponent and relate it to non-existence of Stein domains with Levi-flat boundaries in complex manifolds. In particular, we prove that if the Diederich-Forn{\ae}ss exponent of a smooth bounded Stein domain in an $n$-dimensional complex manifold is $>k/n$, then it has a boundary point at which the Levi-form has rank $\ge k$.

Author

Fu, Siqi; Shaw, Mei-Chi

Published

2014

Language

EN