Isoperimetric inequalities of Euclidean type in metric spaces

By S. Wenger. 2003

91 citations recorded by the source corpus.

No Abstract..

Subfields: Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/7d2ba0cec499988b678ea7c31c5f415d0de96ccd

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In Applied Mathematics

1. S. Wenger
2. C. Sormani
3. A. Lytchak
4. U. Lang
5. Simeon Reich
6. Eva Kopecká
7. Dominic Descombes
8. Shin-ichi Ohta

In Geometry and Topology

1. C. Sormani
2. U. Lang
3. A. Lytchak
4. S. Wenger
5. Simeon Reich
6. Eva Kopecká
7. Dominic Descombes
8. Wataru Takahashi

Citations in the corpus

• Gromov hyperbolic spaces and the sharp isoperimetric constant (2006, methodology): “ In the following we adopt the notation of [2] and refer to it for precise definit ions. The definitions 6 STEFAN WENGER which will be needed throughout this article can also be found in Section 2.2 of [32]. For k ≥ 0 the space of k-dimensional integral currents in a complete metric space X is denoted”
• Flat convergence for integral currents in metric spaces (2005, background): “The proof will show in particular that C � =∞ in the case δ =∞ , thus recovering Theorem 1.2 in [ 11 ].”
• Local Currents in Metric Spaces (2011, background): “The theory of metric currents has been further developed in [8, 31, 33], and some geometric applications have been found [32, 34].”
• The Intrinsic Flat Distance between Riemannian Manifolds and other Integral Current Spaces (2010, background): “10 in [34], we have (151) M (U) + M (V) ≤ mλm−1λ′D M (∂T ) + (m + 1) λmλ′D M (T ) .”
• A SHORT PROOF OF GROMOV'S FILLING INEQUALITY (2007, unknown): “The arguments in [4] rely on the theory of integral currents in metric spaces [1]; these give a generalization of Lipschitz chains (only) with integer coefficients.”
• Area Minimizing Discs in Metric Spaces (2015, background): “o the setting of arbitrary complete metric spaces. Their theory allows to prove existence of mass minimizing integral currents in compact metric spaces and some locally non-compact ones, see [AK00a], [Wen05], [AS13], [Wen14]. In contrast to the well developed regularity theory for mass minimizing in”
• Nonexpansive Retracts in Banach Spaces (2007, methodology): “the Plateau problem is still unsolved for general Banach spaces. We also remark in”