The Mean Curvature Measure

RICCI CURVATURE OF SUBMANIFOLDS OF A SASAKIAN SPACE FORM

Involving the Ricci curvature and the squared mean curvature, we obtain basic inequalities for different kind of submaniforlds of a Sasakian space form tangent to the structure vector field of the ambient manifold. Contrary to already known results, we find a different necessary and sufficient condition for the equality for Ricci curvature of C-totally real submanifolds of a Sasakian space form...

COMPARISON OF STATIC, DYNAMIC BALANCE AND CURVATURE OF THE SPINE IN WOMEN WITH AND WITHOUT DIASTASIS RECTI ABDOMINAL IN THE POSTPARTUM PERIOD

Background & Aims: Increasing in the inter-recti abdominal muscle during pregnancy and postpartum, called diastasis recti abdominal.  Many musculoskeletal disorders occur in women with diastasis recti After pregnancy in the lumbopelvic region. This research article aims to compare the static, dynamic balance and curvature of the spine in women with and without diastasis recti abdominal in the p...

Hypersurfaces with Constant Mean Curvature in a Lorentzian Space Form

Self-intersections for the Surface Diffusion and the Volume-preserving Mean Curvature Flow

We prove that the surface-diffusion flow and the volumepreserving mean curvature flow can drive embedded hypersurfaces to self-intersections.

Bel–robinson Energy and Constant Mean Curvature Foliations

An energy estimate is proved for the Bel–Robinson energy along a constant mean curvature foliation in a spatially compact vacuum spacetime, assuming an L∞ bound on the second fundamental form, and a bound on a spacetime version of Bel–Robinson energy.