179 citations · 1.8k across the 66 of their papers we have counts for
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Conformally invariant bending energy for hypersurfaces
Jemal Guven
The most general conformally invariant bending energy of a closed four-dimensional surface, polynomial in the extrinsic curvature and its derivatives, is constructed. This invarian…
Interface mediated interactions between particles -- a geometrical approach
Martin Michael Mueller, Markus Deserno, Jemal Guven
Particles bound to an interface interact because they deform its shape. The stresses that result are fully encoded in the geometry and described by a divergence-free surface stress…
Hamilton's equations for a fluid membrane
Riccardo Capovilla, Jemal Guven, Efrain Rojas
Consider a homogenous fluid membrane described by the Helfrich-Canham energy, quadratic in the mean curvature of the membrane surface. The shape equation that determines equilibriu…
Hamilton's equations for a fluid membrane: axial symmetry
Riccardo Capovilla, Jemal Guven, Efrain Rojas
Consider a homogenous fluid membrane, or vesicle, described by the Helfrich-Canham energy, quadratic in the mean curvature. When the membrane is axially symmetric, this energy can…
Helfrich-Canham bending energy as a constrained non-linear sigma model
Riccardo Capovilla, Jemal Guven
The Helfrich-Canham bending energy is identified with a non-linear sigma model for a unit vector. The identification, however, is dependent on one additional constraint: that the u…