27 research outputs found
Finite unions of balls in C^n are rationally convex
It is shown that the rational convexity of any finite union of disjoint
closed balls in C^n follows easily from the results of Duval and Sibony.Comment: V.2 - minor edits, 2 page
Uniformization of strictly pseudoconvex domains
It is shown that two strictly pseudoconvex Stein domains with real analytic
boundaries have biholomorphic universal coverings provided that their
boundaries are locally biholomorphically equivalent. This statement can be
regarded as a higher dimensional analogue of the Riemann uniformization
theorem
Legendrian links and d\'ej\`a vu moments
A Legendrian link is called a d\'ej\`a vu link if its components can be
connected by a positive Legendrian isotopy but this isotopy cannot be embedded.
This is the contact geometric analogue of a pair of events in a spacetime such
that there are d\'ej\`a vu moments on every future-directed timelike path
between them. We construct d\'ej\`a vu links in several geometrically relevant
situations and discuss their basic properties.Comment: V.2 - small edits incorporating referee comments, references added;
20 pages, 4 figure