  The outer architectures of Kepler's compact systems of multiple transiting
planets remain poorly constrained and few of these systems have lower bounds on
the orbital distance of any massive outer planets. We infer a minimum orbital
distance and upper limits on the inclination of a hypothetical Jovian-mass
planet orbiting exterior to the six transiting planets at Kepler-11. Our
constraints are derived from dynamical models together with observations
provided by the Kepler mission. Firstly, the lack of transit timing variations
(TTV) in the outermost transiting planet Kepler-11 g imply that the system does
not contain a Jovian mass perturber within 2 AU from the star. Secondly, we
test under what initial conditions a Jovian-mass planet moderately inclined
from the transiting planets would make their co-transiting configuration
unlikely. The transiting planets are secularly coupled and exhibit small mutual
inclinations over long time-scales, although the outermost transiting planet,
Kepler-11 g is weakly coupled to the inner five. We rule out a Jovian-mass
planet on a 3 degree inclination within 3.0 AU, and higher inclinations out to
further orbital distances, unless an undetected planet exists orbiting in the
dynamical gap between Kepler-11 f and Kepler-11 g. Our constraints depend
little on whether we assume the six transiting planets of Kepler-11 were
initially perfectly co-planar or whether a minimum initial mutual inclination
between the transiting planets is adopted based on the measured impact
parameters of the transiting planets.
