OPTIMAL MAPS IN NON BRANCHING SPACES WITH RICCI CURVATURE BOUNDED FROM BELOW
By Nicola Gigli. 2012
66 citations recorded by the source corpus.
Subfields: Applied Mathematics, Astronomy and Astrophysics
View Paper: https://www.semanticscholar.org/paper/e0cf578511984426fd3d6f94c7ddba5bc495a231
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
- Andrea Mondino
- Nicola Gigli
- Luigi Ambrosio
- Fabio Cavalletti
- Giuseppe Savar'e
- Luca Tamanini
- T. Rajala
- Elia Brué
In Astronomy and Astrophysics
- Andrea Mondino
- Nicola Gigli
- Luigi Ambrosio
- Fabio Cavalletti
- Giuseppe Savar'e
- Luca Tamanini
- T. Rajala
- C. Ketterer
Citations in the corpus
- Euclidean spaces as weak tangents of infinitesimally Hilbertian metric measure spaces with Ricci curvature bounded below (2013, methodology): “The same argument was used in [20, 30], which were in turn inspired by some ideas in [26].”
- Nonlinear Diffusion Equations and Curvature Conditions in Metric Measure Spaces (2015, background): “As bibliographical remark let us mention also [29] about existence of optimal maps in non branching spaces; also note that [RS4] is well known [52, Thm.”
- Constancy of the Dimension for RCD(K,N) Spaces via Regularity of Lagrangian Flows (2018, unknown): “The results are mainly taken from [36, 37, 58].”
- Second order differentiation formula on RCD*$(K,N)$ spaces (2018, methodology): “With this said, we recall the following version of Brenier-McCann theorem on RCD spaces ((i) comes from [23] and [49], (ii) from [6] and [27], (iii) from [5] and (iv) from [32]).”
- Interpolated measures with bounded density in metric spaces satisfying the curvature-dimension conditions of Sturm (2011, background): “See for instance the recent paper [6] for the assumptions that are needed for the existence of optimal mappings in the spaces we study here.”
- Optimal maps in essentially non-branching spaces (2016, background): “1 - Gigli [10] under the assumption that (X, d,m) is a non-branching metric measure space satisfying CD(K,N) (or CD(K,∞) under the extra assumption that µ0 is in the domain of the Shannon Entropy); - by the first author and M. Huesmann [5] assuming (X, d,m) to be non-branching and m to verify a weak”