abstract leafy vegetables such as lettuce are more susceptible to post harvest losses, thus application desirable treatments can be recommendable. generally, type of packaging, such as modified atmosphere packaging (map) and wrapping can considerably suppress post harvest loss of horticultural products. in this study, the effects of polypropylene film (thickness 30 and 40 micron) wrapping and m...

Let R a be countable ergodic equivalence relation of type II1 on a standard probability space (X,μ). The group Out R of outer automorphisms of R consists of all invertible Borel measure preserving maps of the space which map R-classes to R-classes modulo those which preserve almost every R-class. We analyze the group Out R for relations R generated by actions of higher rank lattices, providing ...

We consider volume-preserving perturbations of the time-one map of the geodesic flow of a compact surface with negative curvature. We show that if the Liouville measure has Lebesgue disintegration along the center foliation then the perturbation is itself the time-one map of a smooth volume-preserving flow, and that otherwise the disintegration is necessarily atomic.

Given a closed connected Riemannian manifold M and a connected Riemannian manifold N , we study fiberwise, i.e. M × {z}, z ∈ N , volume decreasing diffeomorphisms on the product M × N . Our main theorem shows that in the presence of certain cohomological condition on M and N such diffeomorphisms must map a fiber diffeomorphically onto another fiber and are therefore fiberwise volume preserving....

In this article we prove the problem on isometric mappings of S posed by Th. M. Rassias. We prove that any map f : S → S, p ≥ n > 1, preserving two angles θ and mθ (mθ < π, m > 1) is an isometry. With the assumption of continuity we prove that any map f : S → S preserving an irrational angle is an isometry.

Given a closed connected Riemannian manifold M and a connected Riemannian manifold N , we study slice, i.e. M × {z}, z ∈ N , volume contracting diffeomorphisms on the product M ×N . Our main theorem shows that in the presence of certain cohomological condition on M and N such diffeomorphisms must map a slice diffeomorphically onto another slice and are therefore slice volume preserving. As a fi...