Let S = Sg,n be a connected, orientable surface of genus g ≥ 0 with n ≥ 0 punctures. Let Teich(S) denote the corresponding Teichmüller space, and let Mod(S) denote the mapping class group of S. Understanding the analogy of Teich(S) with symmetric spaces is a wellknown theme. Recall that a complete Riemannian manifold X is symmetric if it is symmetric at each point x ∈ X: the map γ(t) 7→ γ(−t) w...

We describe the geometry of geodesics on a Lorentz ellipsoid: give explicit formulas for the first integrals (pseudo-confocal coordinates), curvature, geodesically equivalent Riemannian metric, the invariant area-forms on the timeand space-like geodesics and invariant 1-form on the space of null geodesics. We prove a Poncelet-type theorem for null geodesics on the ellipsoid: if such a geodesic ...

We introduce a family of extremal polynomials associated with the prolongation of a stratified nilpotent Lie algebra. These polynomials are related to a new algebraic characterization of abnormal subriemannian geodesics in stratified nilpotent Lie groups. They satisfy a set of remarkable structure relations that are used to integrate the adjoint equations.

the aim of the present study was to investigate the effect of aerobic training on serum leptin levels and iron status in obese women. twenty eight obese women were volunteered and randomly divided into two groups: aerobic training (n = 14, age 37.1 ± 4.9 yr, weight 82.0 ± 10.2 kg, body mass index 34.2 ± 4.3 kg/m2 ) and controls ((n = 14, age 37.5 ± 5.3 yr, weight 79.9 ± 9.5 kg, body mass index ...

objectives: the purpose of this study was to consider the effect of eight weeks aerobic training on pth, albumin, calcium, alkaline phosphatesand estrogen levels in postmenopausal women. methods & materials: 22 postmenopause women, 55-70 years, of jahandidegan center in tehran were selected and randomly divided into two groups: (experimental (12) and control (10)) .they had aerobic training pro...

background: multiple sclerosis (ms) is a neurological disease with a variety of signs and symptoms. exercise therapy has been shown to improve physical functions in ms. however, questions about an optimal exercise therapy remain. in this regard, we suggest a combined exercise therapy including aerobic and resistance exercises for ms patients. the study is designed to observe, test and compare t...