On semidiscrete constant mean curvature surfaces and their associated families
Sign Up to like & getrecommendations! Published in 2017 at "Monatshefte Fur Mathematik"
DOI: 10.1007/s00605-016-0929-6
Abstract: The present paper studies semidiscrete surfaces in three-dimensional Euclidean space within the framework of integrable systems. In particular, we investigate semidiscrete surfaces with constant mean curvature along with their associated families. The notion of mean… read more here.
Keywords: associated families; mean curvature; semidiscrete surfaces; constant mean ... See more keywords
Biharmonic constant mean curvature surfaces in Killing submersions
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Geometry and Physics"
DOI: 10.1016/j.geomphys.2018.05.028
Abstract: Abstract A 3-dimensional Riemannian manifold is called Killing submersion if it admits a Riemannian submersion over a surface such that its fibers are the trajectories of a complete unit Killing vector field. In this paper,… read more here.
Keywords: mean curvature; constant mean; killing submersion; biharmonic constant ... See more keywords
Initial value problem for the constant mean curvature equation in the Reissner-NordstrÖm spacetime
Sign Up to like & getrecommendations! Published in 2021 at "Reports on Mathematical Physics"
DOI: 10.1016/s0034-4877(21)00042-2
Abstract: We characterize all spacelike and spherically symmetric constant mean curvature hypersurfaces in the maximally extended Reissner–Nordstrom spacetimes. These characterizations also provide a proof of the existence and uniqueness of the initial value problem for the… read more here.
Keywords: mean curvature; reissner; constant mean; initial value ... See more keywords