On the Relation between a Taut Manifold $X$ Modulo $\Delta_X$ and Hyperbolic Modulo $\Delta_X$ Which Is Contained in a Hypersurface of $X$

Yukinobu Adachi

Abstract


Let $X$ be a n-dimensional Stein (connected complex) manifold or a compact one whose universal covering is a domain in $\mathbf{C}^n$ or a Stein manifold. Let $\Delta_X$ be the degeneration locus of Kobayashi pseudodistance of $X$ which is contained in a hypersurface $S$ of $X$. Then $X$ is hyperbolic modulo $S$ and taut modulo $S$.

Full Text: PDF DOI: 10.5539/jmr.v5n2p39

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Journal of Mathematics Research   ISSN 1916-9795 (Print)   ISSN 1916-9809 (Online)

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