Surface tension with normal curvature in curved space-time

Hypersurfaces with Constant Mean Curvature in a Lorentzian Space Form

Surface Tension and Surface Energy of Curved Interfaces and Membranes

In this work we develop the basic idea that the mechanical properties of a curved Gibbsian dividing surface are characterized, not only by the surface tension, but also by surface moments. It is shown that an additional surface bending moment term is to be introduced in the interfacial balance of the force moments at a spherical dividing surface. The existence of surface bending moment leads to...

String Theory in Curved Space-time

Intrinsic and extrinsic geometric properties of string world sheets in curved space-time background are explored. In our formulation, the only dynamical degrees of freedom of the string are its immersion coordinates. Classical equation of motion and the space-time energy-momentum tensor of the string are obtained. The equations of motion for the extrinsic curvature action are second order for t...

Curvature Dependency of Surface Tension in Multicomponent Systems

The effect of curvature on the surface tension of droplets and bubbles in both single and multicomponent systems is modeled using the basic equations from classical thermodynamics. The three expressions used in our work are the Gibbs adsorption equation for multicomponent systems, the relation between the surface tension at the surface of tension and the distance parameter , and the Macleod–Sug...

Curvature Estimation for Overlapping Curved Patterns using Orientation Space

Filtering of an image with rotated versions of an orientation selective filter yields a set of images which can be stacked to form an orientation space. Orientation space provides a means of analyzing overlapping and touching patterns, characterized by their orientation. In this paper we extend previous work and show that curved patterns may also be analyzed using orientation space. Orientation...