In: Mathematische Zeitschrift, 2015, vol. 280, no. 1-2, p. 421-449
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In: Transformation Groups, 2015, vol. 20, no. 3, p. 831-861
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In: Journal für die reine und angewandte Mathematik (Crelles Journal), 2017, vol. 2017, no. 728, p. 137-151
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In: Transformation Groups, 2015, vol. 20, no. 1, p. 1-20
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In: Journal of Scientific Computing, 2015, vol. 65, no. 1, p. 387-410
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In: Mathematische Zeitschrift, 2015, vol. 280, no. 1-2, p. 231-255
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In: Journal für die reine und angewandte Mathematik, 2020, vol. 2020, no. 763, p. 79–109
The Dehn function measures the area of minimal discs that fill closed curves in a space; it is an important invariant in analysis, geometry, and geometric group theory. There are several equivalent ways to define the Dehn function, varying according to the type of disc used. In this paper, we introduce a new definition of the Dehn function and use it to prove several theorems. First, we...
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In: Algebraic & Geometric Topology, 2020, vol. 20, no. 1, p. 451–485
We determine the smallest stretch factor among pseudo-Anosov maps with an orientable invariant foliation on the closed nonorientable surfaces of genus 4, 5, 6, 7, 8, 10, 12, 14, 16, 18 and 20. We also determine the smallest stretch factor of an orientation-reversing pseudo-Anosov map with orientable invariant foliations on the closed orientable surfaces of genus 1, 3, 5, 7, 9 and 11. As a ...
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In: Geometriae Dedicata, 2020, p. -
This note is concerned with the geometric classification of connected Lie groups of dimension three or less, endowed with left-invariant Riemannian metrics. On the one hand, assembling results from the literature, we give a review of the complete classification of such groups up to quasi-isometries and we compare the quasi- isometric classification with the bi-Lipschitz classification. On the...
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In: Mathematische Annalen, 2014, vol. 360, no. 3-4, p. 995-1020
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