We find computable criteria for stability of symplectic leaves of Poisson manifolds. Using Poisson geometry as an inspiration, we also give a general criterion for stability of leaves of Lie algebroids, including singular ones. This not only extends but also provides a new approach (and proofs) to the classical stability results for foliations and group actions.

This result is also due independently to G. Hector [3], who has shown how useful it can be in understanding the geometry of certain foliated manifolds. In such applications one sometimes needs a form of this theorem which applies to foliated subspaces, for example a minimal subset of a foliation. In fact our proof goes through unaltered in the situation where M is a locally compact, paracompact...

In contrast to the extensively researched modeling of plant architecture, the modeling of plant organs largely remains an open problem. In this paper, we propose a method for modeling lobed leaves. This method extends the concept of sweeps to branched skeletons. The input of the model is a 2D leaf silhouette, which can be defined interactively or derived from a scanned leaf image. The algorithm...

we are given 121 statements by the mother, 86 by the father, 53 by the interviewer, 31 by the brother and only 16 by the girl. The book holds interest for a time as the mise-en-scene builds up, but when it becomes clear that the central figure is never going to appear at all, the interest evaporates. Rebecca was a clever and unusual play but the trick of never displaying the chief character can...