4 papers
The Green's Function on Rhombic Flat Tori
A. E. D. Castillo, G. A. Lobos, V. Ramos Batista
We obtain the Green's function for any flat rhombic torus , always with numerical values of significant digits up to the fourth decimal place (noting that is unique for…
The Isoperimetric Problem in a Lattice of
Guillermo Lobos, Alvaro Hancco, Valério Ramos Batista
The isoperimetric problem is one of the oldest in geometry and it consists of finding a surface of minimum area that encloses a given volume . It is particularly important in ph…
Explicit minimal Scherk saddle towers of arbitrary even genera in
A. J. Yucra Hancco, G. A. Lobos, V. Ramos Batista
Starting from works by Scherk (1835) and by Enneper-Weierstraß\ (1863), new minimal surfaces with Scherk ends were found only in 1988 by Karcher (see \cite{Karcher1,Karcher}). In t…
Minimal surfaces with only horizontal symmetries
M. F. da Silva, G. A. Lobos, V. Ramos Batista
We find the first examples of triply periodic minimal surfaces of which the intrinsic symmetries are all of horizontal type.