On minimal hypersurfaces in Euclidean spaces and Riemannian manifolds

Authors

JOSEF MIKEŠFollow
SERGEY STEPANOVFollow
IRINA TSYGANOKFollow

Author ORCID Identifier

JOSEF MIKEŠ: 0000-0003-2098-7976

SERGEY STEPANOV: 0000-0003-1734-8874

IRINA TSYGANOK: 0000-0001-9186-3992

Abstract

In this paper, we present the conditions under which minimal and stable minimal hypersurfaces are as hyperplanes in Euclidean spaces ands a totally geodesic submanifolds in Riemannian manifolds.

DOI

10.55730/1300-0098.3577

Keywords

Jacobi equation and Jacobi inequality, Minimal and stable minimal hypersurfaces, rigidity theorem

First Page

131

Last Page

138

Publisher

The Scientific and Technological Research Council of Türkiye (TÜBİTAK)

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Recommended Citation

MIKEŠ, JOSEF; STEPANOV, SERGEY; and TSYGANOK, IRINA (2025) "On minimal hypersurfaces in Euclidean spaces and Riemannian manifolds," Turkish Journal of Mathematics: Vol. 49: No. 1, Article 9. https://doi.org/10.55730/1300-0098.3577
Available at: https://journals.tubitak.gov.tr/math/vol49/iss1/9