Autor:	Morozov, Egor
Rok vydání:	2022
Předmět:	Mathematics - Differential Geometry 53C42
Zdroj:	Math Phys Anal Geom 27, 22 (2024)
Druh dokumentu:	Working Paper
DOI:	10.1007/s11040-024-09494-9
Popis:	For each rational number $p/q\in (1/2,\sqrt 2/2)$ one can construct an $\mathbb S^1$-equivariant minimal torus in $\mathbb S^3$ called Otsuki torus and denoted by $O_{p/q}$. The Lawson's bipolar surface construction applied to $O_{p/q}$ gives a minimal torus $\widetilde O_{p/q}$ in $\mathbb S^4$. In this paper we give upper and lower bounds on the Morse index and the nullity of these tori for $p/q$ close to $\sqrt 2/2$. We also state a numerically assisted conjecture concerning the general case. Comment: 16 pages, v2: improved structure and exposition
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2207.06008 Zobrazit plný text záznamu View this record from Arxiv