The purpose of this study was to examine the ability of young and elderly individuals to control submaximum levels of force (5-90%) during continuous and rapid discrete isometric contractions of the quadriceps femoris. Participants were 24 young (25.3 +/- 2.8 years) and 24 elderly individuals (73.3 +/- 5.5 years) that were healthy and active. The strength of elderly participants was approximate...

Introduction. A number of authors [C], [DW1], [DW2], [L], [T] have studied minimal isometric immersions of Riemannian manifolds into round spheres, and in particular of round spheres into round spheres. As was observed by T. Takahashi [T], if Φ:M → S(r) ⊂ R is such a minimal immersion, then the components of Φ must be eigenfuctions of the Laplace operator on M for the same eigenvalue. And conve...

We classify all smooth flat Riemannian metrics on the two-dimensional plane. In complete case, it is well known that these are isometric to Euclidean metric. incomplete there an abundance of naturally occurring, non-isometric relevant and useful. Remarkably, study classification plane—as a subject—is new literature. Much our research focuses conformal form \(e^{2\varphi }g_0\), where \(\varphi ...

Theorem 1. Let (S2, g) be the two dimensional sphere with a metric of class C1,1 whose Gaussian curvature satisfies 0 ≤ K ≤ 1. Then any simple closed geodesic γ on (S2, g) has length at least 2π. If the length of γ is 2π, then (S2, g) is isometric to the standard round sphere (S2, g0) and γ is a great circle on (S2, g0) or (S 2, g) is isometric to a circular cylinder of circumference 2π capped ...

In this paper, we prove new pinching theorems for the first eigenvalue λ1(M) of the Laplacian on compact hypersurfaces of the Euclidean space. These pinching results are associated with the upper bound for λ1(M) in terms of higher order mean curvatures Hk. We show that under a suitable pinching condition, the hypersurface is diffeomorpic and almost isometric to a standard sphere. Moreover, as a...

We prove existence of wide types in a continuous theory expanding a Banach space, and density of minimal wide types among stable types in such a theory. We show that every minimal wide stable type is “generically” isometric to an l2 space. We conclude with a proof of the following formulation of Henson’s Conjecture: every model of an uncountably categorical theory expanding a Banach space is pr...

Background. Abdominal fat accumulation, also known as central obesity, is a major risk factor for many degenerative diseases, including cardiovascular disease and diabetes. Isotonic and isometric workouts can be used to avoid the buildup of fat in the belly, and young ladies should measure their waist circumference regularly. Objectives. This study showed how isotonic and isometric exercise af...

Weightlifters produce strength and power in the vertical plane, while canoeists horizontal plane. The purpose of study is to examine difference between isometric ballistic force athletes weightlifting canoeing, at which production occurs different planes. 84 aged 14-21 were included study. Demographic information was taken on a working day standard warm-up protocol applied. Dynamic Strength Ind...