Turkish Journal of Mathematics
Abstract
We study positive $C^1$ functions $z=f(x), x=(x_1,\cdots, x_n)$ defined on the $n$-dimensional Euclidean space $ \mathbb R^{n}$. For $x=(x_1,\cdots, x_n)$ with nonzero numbers $x_1, \cdots, x_n$, we consider the rectangular domain $I(x)=I(x_1)\times \cdots \times I(x_n)\subset \mathbb R^{n}$, where $I(x_i)= [0, x_i]$ if $x_i>0$ and $I(x_i)= [x_i,0]$ if $x_i
DOI
10.3906/mat-1703-61
Keywords
Centroid, surface centroid, volume, surface area, catenary rotation hypersurface
First Page
360
Last Page
372
Recommended Citation
KIM, D, KIM, Y. H, & YOON, D. W (2018). Various centroids and some characterizations of catenary rotation hypersurfaces. Turkish Journal of Mathematics 42 (1): 360-372. https://doi.org/10.3906/mat-1703-61
