Locality of the mean curvature of rectifiable varifolds

Locality of the mean curvature of rectifiable varifolds

The aim of this paper is to investigate whether, given two rectifiable k-varifolds in R with locally bounded first variations and integer-valued multiplicities, their mean curvatures coincide H-almost everywhere on the intersection of the supports of their weight measures. This so-called locality property, which is well-known for classical C2 surfaces, is far from being obvious in the context o...

Global Curvature for Rectifiable Loops

analysis of reading comprehension needs of the students of paramedical studies: the case of the students of health information management (him)

چکیده ندارد.

Currents and Flat Chains Associated to Varifolds, with an Application to Mean Curvature Flow

We prove under suitable hypotheses that convergence of integral varifolds implies convergence of associated mod 2 flat chains and subsequential convergence of associated integer-multiplicity rectifiable currents. The convergence results imply restrictions on the kinds of singularities that can occur in mean curvature flow.

the effect of taftan pozzolan on the compressive strength of concrete in the environmental conditions of oman sea (chabahar port)

cement is an essential ingredient in the concrete buildings. for production of cement considerable amount of fossil fuel and electrical energy is consumed. on the other hand for generating one tone of portland cement, nearly one ton of carbon dioxide is released. it shows that 7 percent of the total released carbon dioxide in the world relates to the cement industry. considering ecological issu...