Open Access
June 2016 Balls in quaternionic hyperbolic manifolds
Wensheng Cao
Kodai Math. J. 39(2): 439-454 (June 2016). DOI: 10.2996/kmj/1467830149

Abstract

By use of the Zassenhaus neighborhood of Sp(n,1), we obtain an explicit lower bound for the radius of the largest inscribed ball in quaternionic hyperbolic n-manifold $\mathscr{M} = \mathbf H_\mathbf H ^n/Γ$. As an application, we obtain a lower bound for the volumes of quaternionic hyperbolic n-manifolds.

Citation

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Wensheng Cao. "Balls in quaternionic hyperbolic manifolds." Kodai Math. J. 39 (2) 439 - 454, June 2016. https://doi.org/10.2996/kmj/1467830149

Information

Published: June 2016
First available in Project Euclid: 6 July 2016

zbMATH: 1345.30072
MathSciNet: MR3520524
Digital Object Identifier: 10.2996/kmj/1467830149

Rights: Copyright © 2016 Tokyo Institute of Technology, Department of Mathematics

Vol.39 • No. 2 • June 2016
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