We prove, as our main theorem, the finiteness of topological type of a complete open Riemannian manifold M with a base point p ∈ M whose radial curvature at p is bounded from below by that of a non-compact model surface of revolution ̃ M which admits a finite total curvature and has no pair of cut points in a sector. Here a sector is, by definition, a domain cut off by two meridians emanating f...

OBJECTIVE To review long-term efficacy and complications of surgical treatment of penile curvature in a Chinese population. DESIGN Retrospective review. SETTING Regional hospital, Hong Kong. PATIENTS. Patients who underwent surgical treatment of penile curvature between January 1997 and March 2005 inclusive. INTERVENTION Penile curvature corrective surgery. MAIN OUTCOME MEASURES Penile ...

we establish some relative volume comparison theorems for extremal volume forms of‎ ‎finsler manifolds under suitable curvature bounds‎. ‎as their applications‎, ‎we obtain some results on curvature and topology of finsler manifolds‎. ‎our results remove the usual assumption on s-curvature that is needed in the literature‎.

One of the most interesting questions in Riemannian geometry is that of deciding whether a manifold admits curvatures of certain kinds. More specifically, one might want to know whether some given manifold admits a canonical metric, i.e. one with constant curvature of some form (sectional curvature, scalar curvature, etc.). (This will in fact have many topological implications.). One such probl...

INTRODUCTION Correction of penile curvature by corporal rotation enabled the correction of 90 degrees ventral curvature with neither shortening nor erectile dysfunction. However, some limitations were described, and only one case was reported upon. AIM This work described a 3-year experience with corporeal rotation, the modifications addressing and eliminating its drawbacks and limitations, a...

This manuscript studies manifolds-with-boundary collapsing in the Gromov-Hausdorff topology. The main aim is an understanding of the relationship of the topology and geometry of a limiting sequence of manifolds-with-boundary to that of a limit space, which is presumed to be without geodesic terminals. The main result establishes a disc bundle structure for any manifold-with-boundary having two-...

We prove, as our main theorem, the finiteness of topological type of a complete open Riemannian manifold M with a base point p ∈ M whose radial curvature at p is bounded from below by that of a non-compact model surface of revolution M̃ which admits a finite total curvature and has no pair of cut points in a sector. Here a sector is, by definition, a domain cut off by two meridians emanating fro...

unlike the classical deformation analysis of the earth crust, which derives the planar and vertical strains separately, in this study, we have offered a method for 3-d deformation study based on intrinsic geometry of the manifolds on the topographic surface of the earth. in this way, our method would be based on the 2-d metric tensor of horizontal deformation and 2-d curvature tensor of vertica...

It is known that DNA curvature plays a certain role in gene regulation. The distribution of curved DNA in promoter regions is evolutionarily preserved, and it is mainly determined by temperature of habitat. However, very little is known on the distribution of DNA curvature in termination sites. Our main objective was to comprehensively analyze distribution of curved sequences upstream and downs...