Filling minimality and Lipschitz-volume rigidity of convex bodies among integral current spaces

Undistorted fillings in subsets of metric spaces

(2023) Giuliano Basso et al.   ADVANCES IN MATHEMATICS

Rigidity of mass-preserving 1-Lipschitz maps from integral current spaces into Rn

(2023) Giacomo Del Nin et al.   JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

Intrinsic Flat Convergence of Points and Applications to Stability of the Positive Mass Theorem

(2022) Lan-Hsuan Huang et al.   ANNALES HENRI POINCARE

Corrigendum to Intrinsic flat stability of the positive mass theorem for graphical hypersurfaces of Euclidean space (J. reine angew. Math. 727 (2017), 269–299)

(2022) Lan-Hsuan Huang et al.   JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK

Decomposition of integral metric currents

(2021) Paolo Bonicatto et al.   JOURNAL OF FUNCTIONAL ANALYSIS

Maximal metric surfaces and the Sobolev-to-Lipschitz property

(2020) Paul Creutz et al.   CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS

Majorization by hemispheres and quadratic isoperimetric constants

(2019) Paul Creutz   TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY

Functions of bounded fractional variation and fractal currents

(2019) Roger Züst   GEOMETRIC AND FUNCTIONAL ANALYSIS

Properties of the Intrinsic Flat Distance

(2018) J. Portegies et al.   St Petersburg Mathematical Journal

Intrinsic flat stability of the positive mass theorem for graphical hypersurfaces of Euclidean space

(2017) Lan-Hsuan Huang et al.   JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK

The intrinsic flat distance between Riemannian manifolds and other integral current spaces

(2017) Christina Sormani et al.   JOURNAL OF DIFFERENTIAL GEOMETRY

Area Minimizing Discs in Metric Spaces

(2016) Alexander Lytchak et al.   ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS

Lipschitz–Volume rigidity in Alexandrov geometry

(2015) Nan Li   ADVANCES IN MATHEMATICS

Lipschitz-volume rigidity on limit spaces with Ricci curvature bounded from below

(2014) Nan Li et al.   DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS

The pointed flat compactness theorem for locally integral currents

(2013) Urs Lang et al.   COMMUNICATIONS IN ANALYSIS AND GEOMETRY

Area minimizers and boundary rigidity of almost hyperbolic metrics

(2013) Dmitri Burago et al.   DUKE MATHEMATICAL JOURNAL

Plateau's problem for integral currents in locally non-compact metric spaces

(2013) Stefan Wenger   Advances in Calculus of Variations

Boundary rigidity and filling volume minimality of metrics close to a flat one

(2010) Dmitri Burago et al.   ANNALS OF MATHEMATICS

Compactness for manifolds and integral currents with bounded diameter and volume

(2010) Stefan Wenger   CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS

Local Currents in Metric Spaces

(2010) Urs Lang   JOURNAL OF GEOMETRIC ANALYSIS

Volumes and areas of Lipschitz metrics

(2009) S. V. Ivanov   St Petersburg Mathematical Journal