arXiv Open Access 2023

On area-minimizing Pfaffian varieties

Hongbin Cui Xiaoxiang Jiao Xiaowei Xu

Lihat Sumber

Abstrak

There are two significant families of minimal real matrix varieties: determinantal varieties and skew-symmetric determinantal varieties, the later ones are also known as Pfaffian varieties. In 1999, Kerckhove and Lawlor [Duke Math.J. 96(2),401--424,1999] proved that determinantal varieties are area-minimizing except for two families. In this paper we prove that all Pfaffian varieties are area-minimizing with the exception of Pfaffian hypersurfaces.

Topik & Kata Kunci

math.AG math.DG

Penulis (3)

Hongbin Cui

Xiaoxiang Jiao

Xiaowei Xu

Format Sitasi

APA MLA BibTeX

Cui, H., Jiao, X., Xu, X. (2023). On area-minimizing Pfaffian varieties. https://arxiv.org/abs/2305.06517

Akses Cepat

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Informasi Jurnal

Tahun Terbit: 2023
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓