English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We classify (spacelike or timelike) surfaces of revolution with zero $f$-meancurvature in $\Bbb G^2\times\Bbb R_1,$ the Lorentz-Minkowski 3-space $\BbbR^3_1$ endowed with the Gaussian-Euclidean density $e^{-f(x,y,z)}=\frac1{2\pi}e^{-\frac{x^2+y^2}2}.$ It is proved that an $f$-maximal surface ofrevolution is either a horizontal plane or a spacelike $f$-Catenoid. For thetimelike case, a timelike $f$-minimal surface is either a vertical planecontaining $z$-axis, the cylinder $x^2+y^2=1,$ or a timelike $f$-Catenoid.Spacelike and timelike $f$-Catenoids are new examples of $f$-minimal surfacesin $\Bbb G^2\times \Bbb R_1.$

Zero $f$-mean curvature surfaces of revolution in the Lorentzian product $\Bbb G^2\times\Bbb R_1$