A refinement of the complex convexity theorem via symplectic techniques

Convexity in Symplectic Geometry: The Atiyah-Guillemin-Sternberg Theorem

A Symplectic Fixed Point Theorem for Complex Projective Spaces

1. Arnold's conjecture. An automorphism ^ of a symplectic manifold (P,u;) is homologous to the identity if there is a smooth family tyt (* € [0,1]) of automorphisms such that the time-dependent vector field £t defined by di^t/dt = & ° ^t is globally hamiltonian; i.e. if there is a smooth family Ht of real-valued functions on P such that £*JCÜ = dHt. It was conjectured by Arnold [1], as an exten...

A symplectic slice theorem

We provide a model for an open invariant neighborhood of any orbit in a symplectic manifold endowed with a canonical proper symmetry. Our results generalize the constructions of Marle [Mar84, Mar85] and Guillemin and Sternberg [GS84] for canonical symmetries that have an associated momentum map. In these papers the momentum map played a crucial role in the construction of the tubular model. The...

Metric convexity in the symplectic category

We introduce an extension of the standard Local-to-Global Principle used in the proof of the convexity theorems for the momentum map to handle closed maps that take values in a length metric space. This extension is used to study the convexity properties of the cylinder valued momentum map introduced by Condevaux, Dazord, and Molino in [8] and allows us to obtain the most general convexity stat...

the role of task-based techniques on the acquisition of english language structures by the intermediate efl students

this study examines the effetivenss of task-based activities in helping students learn english language structures for a better communication. initially, a michigan test was administered to the two groups of 52 students majoring in english at the allameh ghotb -e- ravandi university to ensure their homogeneity. the students scores on the grammar part of this test were also regarded as their pre...