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<p>In [<CitationRef CitationID="CR16">16</CitationRef>], the authors define the notion of morphisms and pullbacks of metric (graph) bundles. Moreover, they show the existence of the Cannon-Thurston (CT) map for a pullback. In this paper, we prove a combination theorem for relatively hyperbolic metric (graph) bundles and also prove a relatively hyperbolic analogue of the result in [<CitationRef CitationID="CR16">16</CitationRef>]. Further, we derive some applications of these results.</p>

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Relatively hyperbolic metric bundles and Cannon-Thurston map

  • 期刊论文

  • 发表日期：

    2026年7月27日

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  • Swathi Krishna

摘要

In [16], the authors define the notion of morphisms and pullbacks of metric (graph) bundles. Moreover, they show the existence of the Cannon-Thurston (CT) map for a pullback. In this paper, we prove a combination theorem for relatively hyperbolic metric (graph) bundles and also prove a relatively hyperbolic analogue of the result in [16]. Further, we derive some applications of these results.