RT Journal Article
T1 On totally umbilical and minimal surfaces of the Lorentzian Heisenberg groups
A1 Calvaruso, Giovanni
A1 Castrillón López, Marco
A1 Pellegrino, Lorenzo
AB This paper has manifold purposes. We first introduce a description of the Gauss map for submanifolds (both spacelike and timelike) of a Lorentzian ambient space and relate the conformality of the Gauss map of a surface to total umbilicity and minimality. We then focus on surfaces of the three-dimensional Heisenberg group, equipped with any of its left-invariant Lorentzian metrics. We prove that with the obvious exception of the flat case, no totally umbilical surfaces occur. On the other hand, we determine and explicitly describe several examples of minimal and constant mean curvature (CMC) surfaces.
PB Wiley
SN 0025-584X
SN 1522-2616
YR 2025
FD 2025
LK https://hdl.handle.net/20.500.14352/120716
UL https://hdl.handle.net/20.500.14352/120716
LA eng
NO Ministerio de Ciencia e Innovacion
DS Docta Complutense
RD 21 abr 2026