Spread of values around the geometric mean. The geometric standard deviation can be described as a geometric factor and this cannot be added/subtracted from the geometric mean.
Examples
d <- rlnorm(60,1,1.3)
geom.var(d)
#> [1] 8.647629
x <- matrix(rlnorm(60,1,1.4), ncol = 4)
mapply(geom.var,as.data.frame(x))
#> V1 V2 V3 V4
#> 3.087335 8.680884 6.802660 19.641553