## THERMAL SCIENCE

International Scientific Journal

### ROTATIONAL HYPERSURFACES GENERATED BY WEIGHTED MEAN CURVATURE IN E41 WITH DENSITY

**ABSTRACT**

In this paper, we study rotational hypersurfaces in 4-D Lorentz-Minkowski space with density. We give the weighted mean curvature of a rotational hypersurface about spacelike (timelike) axis in E41 with densities ex2-y2-z2 and ex-y-z (e-y2-z2-t2 and e-y-z-t). We obtain the parametric expressions of the rotational hypersurfaces about spacelike (timelike) axis in E4 1 with density ex2-y2-z2 (e-y2-z2-t2) with respect to the weighted mean curvature and give some examples for them. Also, we give some results about rotational hypersurfaces about spacelike (timelike) axis in E41 with density ex-y-z (e-y-z-t) to be with constant or non-constant weighted mean curvature.

**KEYWORDS**

PAPER SUBMITTED: 2021-05-26

PAPER REVISED: 2021-10-20

PAPER ACCEPTED: 2022-04-28

PUBLISHED ONLINE: 2022-07-23

**THERMAL SCIENCE** YEAR

**2022**, VOLUME

**26**, ISSUE

**Issue 4**, PAGES [3043 - 3053]

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