arXiv Open Access 2024

Construction of $r$-harmonic submanifolds

José Miguel Balado-Alves Anna Siffert

Lihat Sumber

Abstrak

We provide a construction method for biharmonic submanifolds in cohomogeneity one manifolds. In particular, we give new examples of biharmonic submanifolds and study the normal index of these submanifolds. We use this strategy to construct metrics on the sphere admitting biharmonic non-minimal hypersurfaces with three distinct principal curvatures. Finally, we perform a similar study of $r$-harmonic submanifolds of cohomogeneity one manifolds.

Topik & Kata Kunci

math.DG

Penulis (2)

José Miguel Balado-Alves

Anna Siffert

Format Sitasi

APA MLA BibTeX

Balado-Alves, J.M., Siffert, A. (2024). Construction of $r$-harmonic submanifolds. https://arxiv.org/abs/2404.02535

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2024
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓