Sobolev and Dirichlet spaces over maps between metric spaces
49 citations recorded by the source corpus.
Subfields: Applied Mathematics, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/7b6e305731abe9b933a327d7c823947e7d440220
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
- Hui-Chun Zhang
- Xiping Zhu
- Karl‐Theodor Sturm
- Nicola Gigli
- Luigi Ambrosio
- Andrea Mondino
- J. Lott
- Renjin Jiang
In Geometry and Topology
- Hui-Chun Zhang
- Xiping Zhu
- Karl‐Theodor Sturm
- J. Lott
- Nicola Gigli
- Andrea Mondino
- Binglong Chen
- Shin-ichi Ohta
Citations in the corpus
- On the geometry of metric measure spaces. II (2006, result): “It is a slight modiflcation of a property introduced in [St98] and in a similar form in [ KS03 ].”
- Ricci Curvature on Alexandrov spaces and Rigidity Theorems (2009, result): “On the other hand, Sturm in [38] and Ohta in [20] introduced another definition of “Ricci curvature bounded below” for metric measure spaces, the measure contraction property MCP(n, k), which is a slight modification of a property introduced earlier by Sturm in [39] and in a similar form by Kuwae an”
- Yau's gradient estimates on Alexandrov spaces (2010, methodology): “ Ohta [31] introduced a measure contraction property, denoted by MCP(K,n), which is a slight modification of a property introduced earlier by Sturm in [46] and in a similar form by Kuwae and Shioya in [23, 24]. The condition MCP(K,n) also implies Bishop–Gromov comparison, Bonnet–Myer’s th eorem and a”