17 citations · 40 across the 5 of their papers we have counts for
5 papers
Moving frames and compatibility conditions for three-dimensional director fields
Luiz C. B. da Silva, Efi Efrati
The geometry and topology of the region in which a director field is embedded impose limitations on the kind of supported orientational order. These limitations manifest as compati…
Holomorphic representation of minimal surfaces in simply isotropic space
Luiz C. B. da Silva
It is known that minimal surfaces in Euclidean space can be represented in terms of holomorphic functions. For example, we have the well-known Weierstrass representation, where par…
Construction of exact minimal parking garages: nonlinear helical motifs in optimally packed lamellar structures
Luiz C. B. da Silva, Efi Efrati
Minimal surfaces arise as energy minimizers for fluid membranes and are thus found in a variety of biological systems. The tight lamellar structures of the endoplasmic reticulum an…
Invariant surfaces with coordinate finite-type Gauss map in simply isotropic space
Alev Kelleci, Luiz C. B. da Silva
We consider the extrinsic geometry of surfaces in simply isotropic space, a three-dimensional space equipped with a rank 2 metric of index zero. Since the metric is degenerate, a s…
Schrödinger formalism for a particle constrained to a surface in
Renato Teixeira, Eduardo S. G. Leandro, Luiz C. B. da Silva +1
In this work it is studied the Schrödinger equation for a non-relativistic particle restricted to move on a surface in a three-dimensional Minkowskian medium ,…