1 citations · 1 across the 6 of their papers we have counts for
7 papers
Submanifolds of higher rank with curvature normals of constant length
Santiago Castañeda-Montoya, Guillermo Lobos, Carlos Olmos
We study the local geometry of Euclidean submanifolds of rank at least two whose curvature normals with respect to the flat part of the normal bundle have constant length, equivale…
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…
A Simons' type formula for spacelike submanifolds in semi-Riemannian warped product
Guillermo A. Lobos, Mynor Melara, Maria R. B. Santos
We determine a Simons' type formula for spacelike submanifolds within a broad class of semiRiemannian warped products. This formula extends the Simons' type formulas initially intr…
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…
On Hamiltonian minimal submanifolds in the space of oriented geodesics in real space forms
Nikos Georgiou, Guillermo Antonio Lobos Villagra
We prove that a deformation of a hypersurface in a -dimensional real space form induce a Hamiltonian variation of the normal congruence in the spac…
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.