Variational geometry for surfaces in conformally flat space

Authors

NAJMA MOSADEGH
ESMAIEL ABEDI

DOI

10.3906/mat-2101-71

Abstract

In this paper, it is shown that a closed surface in 3-dimensional harmonic conformally flat space is minimal if the sign of the mean curvature does not change. Also, it is determined that the critical point of mean curvature functional of the surface is homeomorphic to the sphere.

Keywords

Conformally flat spaces, variational aspect

First Page

36

Last Page

46

Recommended Citation

MOSADEGH, NAJMA and ABEDI, ESMAIEL (2022) "Variational geometry for surfaces in conformally flat space," Turkish Journal of Mathematics: Vol. 46: No. 1, Article 3. https://doi.org/10.3906/mat-2101-71
Available at: https://journals.tubitak.gov.tr/math/vol46/iss1/3