Turkish Journal of Mathematics
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
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
