Rectifiable sets in metric and Banach spaces
By Luigi Ambrosio, B. Kirchheim. 2000
343 citations recorded by the source corpus.
Subfields: Applied Mathematics, Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/0193f3813b07b599d22ab6e94496c6932faff743
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Applied Mathematics
- Luigi Ambrosio
- Francesco Serra Cassano
- Valentino Magnani
- Nicola Garofalo
- Nicola Gigli
- Raul Paolo Serapioni
- Bruno Franchi
- D. Danielli
In Geometry and Topology
- Luigi Ambrosio
- Valentino Magnani
- Francesco Serra Cassano
- Nicola Gigli
- Raul Paolo Serapioni
- Bruno Franchi
- Giuseppe Savar'e
- Nicola Garofalo
In Mathematical Physics
- Francesco Serra Cassano
- Raul Paolo Serapioni
- Camillo De Lellis
- Luigi Ambrosio
- Emanuele Spadaro
- Bruno Franchi
- Nicola Gigli
- Valentino Magnani
Citations in the corpus
- Regular Hypersurfaces, Intrinsic Perimeter and Implicit Function Theorem in Carnot Groups (2003, methodology): “We only mention some of them: De Giorgi [14], [15], [16], Gromov [28], [29], Preiss and Tisˇ er [44], Kirchheim [33], David & Semmes [11], Cheeger [9] and Ambrosio and Kirchheim [ 3 ], [4].”
- Intrinsic regular hypersurfaces in Heisenberg groups (2006, methodology): “Such a project, already embryonally contained in Federer's book [22], has been explicitly formulated and carried on in the last few years by De Giorgi [18, 19, 17], Preiss and Tis~r [54], Kirchheim [36], David and Semmes [14], Ambrosio and Kirchheim [ 3 , 4], Lorent [39] and Mattila [45].”
- A notion of rectifiability modeled on Carnot groups (2000, neutral): “Also, see the extensive bibliographies in [GN96] and [AK99b]).”
- IMPLICIT FUNCTION THEOREM IN CARNOT–CARATHÉODORY SPACES (2006, background): “However, the Heisenberg group turned out to be completely non-rectifiable in this sense, (see [1]).”
- Differentiability of Intrinsic Lipschitz Functions within Heisenberg Groups (2011, neutral): “, [1, 2, 17, 21, 29, 34] and the references therein).”
- Q-valued functions revisited (2008, methodology): “The first one is an elementary fact, exploited first by Gromov in the context of metric geometry (see [24]) and used later to tackle many problems in analysis and geometry on metric spaces (see [9], [8], and [31]).”
- Geodesically complete spaces with an upper curvature bound (2018, methodology): “An application of the co-area formula, [AK00], together with (10.”