arXiv Open Access 2021

Higher $P$-symmetric Ekeland-Hofer capacities

Kun Shi Guangcun Lu

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Abstrak

This paper is devoted to the construction of analogues of higher Ekeland-Hofer symplectic capacities for $P$-symmetric subsets in the standard symplectic space $(\mathbb{R}^{2n},ω_0)$, which is motivated by Long and Dong's study $P$-symmetric closed characteristics on $P$-symmetric convex bodies. We study the relationship between these capacities and other capacities, and give some computation examples. Moreover, we also define higher real symmetric Ekeland-Hofer capacities as a complement of Jin and the second named author's recent study of the real symmetric analogue about the first Ekeland-Hofer capacity.

Topik & Kata Kunci

math.SG math.DS

Penulis (2)

Kun Shi

Guangcun Lu

Format Sitasi

APA MLA BibTeX

Shi, K., Lu, G. (2021). Higher $P$-symmetric Ekeland-Hofer capacities. https://arxiv.org/abs/2102.00600

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Informasi Jurnal

Tahun Terbit: 2021
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓