Moduli of triples of points in quaternionic hyperbolic geometry

Autor:	Almeida, Igor, Gusevskii, Nikolay
Rok vydání:	2023
Předmět:	Mathematics - Differential Geometry 32H20 20H10 22E40 57S30 32G07 32C16
Druh dokumentu:	Working Paper
Popis:	In this work, we describe the moduli of triples of points in quaternionic projective space which define uniquely the congruence classes of such triples relative to the action of the isometry group of quaternionic hyperbolic space ${\rm H}^n_{\mathbb{Q}}$. To solve this problem, we introduce some basic invariants of triples of points in quaternionic hyperbolic geometry. In particular, we define quaternionic analogues of the Goldman invariants for mixed configurations of points introduced by him in complex hyperbolic geometry. Comment: arXiv admin note: text overlap with arXiv:2212.13476
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2301.00745 Zobrazit plný text záznamu View this record from Arxiv