On volumes of quaternionic hyperbolic n-orbifolds

By use of H. C. Wang’s bound on the radius of a ball embedded in the fundamental domain of a lattice of a semisimple Lie group, we construct an explicit lower bound for the volume of a quaternionic hyperbolic orbifold that depends only on dimension.

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Bibliographic Details
Published in:	Geometriae dedicata Vol. 200; no. 1; pp. 27 - 43
Main Authors:	Cao, Wensheng, Fu, Jianli
Format:	Journal Article
Language:	English
Published:	Dordrecht Springer Netherlands 01-06-2019 Springer Nature B.V
Subjects:	Algebraic Geometry Convex and Discrete Geometry Differential Geometry Hyperbolic Geometry Lie groups Lower bounds Mathematics Mathematics and Statistics Original Paper Projective Geometry Topology Volume Secondary 53C42 Lie group Primary 22E40 57S30 Quaternionic hyperbolic orbifolds Riemannian submersion
Online Access:	Get full text
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Description
Summary:	By use of H. C. Wang’s bound on the radius of a ball embedded in the fundamental domain of a lattice of a semisimple Lie group, we construct an explicit lower bound for the volume of a quaternionic hyperbolic orbifold that depends only on dimension.
ISSN:	0046-5755 1572-9168
DOI:	10.1007/s10711-018-0356-z