HYPERBOLIC 3-MANIFOLDS WITH LARGE KISSING NUMBER

Doria, Cayo; Murillo, Plinio G. P.

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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

HYPERBOLIC 3-MANIFOLDS WITH LARGE KISSING NUMBER

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Author(s):	Doria, Cayo ^[1] ; Murillo, Plinio G. P. ^[2] Total Authors: 2
Affiliation:	^[1] Univ Goias, Inst Matemat & Estat, Rua Jacaranda Chacaras California, BR-74001970 Goiania, Go - Brazil ^[2] Univ Fed Fluminense, Inst Matemat & Estat, Rua Prof Marcos Waldemar Freitas Reis, S-N, Bloco H, BR-24210201 Niteroi, RJ - Brazil Total Affiliations: 2
Document type:	Journal article
Source:	Proceedings of the American Mathematical Society; v. 149, n. 11, p. 4595-4607, NOV 2021.
Web of Science Citations:	0
Abstract
In this article we construct a sequence [M-i] of non compact finite volume hyperbolic 3-manifolds whose kissing number grows at least as vol(M-i)(31/27-epsilon) for any epsilon > 0. This extends a previous result due to Schmutz in dimension 2. (AU)

FAPESP's process:	18/15750-9 - Closed curves on hyperbolic manifolds.
Grantee:	Cayo Rodrigo Felizardo Dória
Support Opportunities:	Scholarships in Brazil - Post-Doctoral

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