Filling volume minimality and boundary rigidity of metrics close to a negatively curved symmetric metric

Yuping Ruan

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arXiv · 2201.09175

Filling volume minimality and boundary rigidity of metrics close to a negatively curved symmetric metric

Yuping Ruan

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Abstract

This paper generalizes D. Burago and S. Ivanov's work on filling volume minimality and boundary rigidity of almost real hyperbolic metrics. We show that regions with metrics close to a negatively curved symmetric metric are strict minimal fillings and hence boundary rigid. This includes perturbations of complex, quaternionic and Cayley hyperbolic metrics.

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BibTeX RIS

Yuping Ruan. 2022-01-23. Filling volume minimality and boundary rigidity of metrics close to a negatively curved symmetric metric. https://arxiv.org/abs/2201.09175

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