An Overview of the Proof of the Splitting Theorem in Spaces with Non-Negative Ricci Curvature
By Nicola Gigli. 2014
91 citations recorded by the source corpus.
3.0 License. Anal. Geom. Metr. Spaces 2014; 2:169–213 Analysis and Geometry in Metric Spaces Open Access Survey Paper Nicola Gigli* An Overview of the Proof of the Splitting Theorem in Spaces with Non-Negative Ricci Curvature DOI 10.2478/agms-2014-0006 Received May 21, 2013; accepted April 18, 2014
Subfields: Applied Mathematics, Astronomy and Astrophysics, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/2189962bf6cf0b405211faf05917d5db9572da5f
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In Applied Mathematics
- Luigi Ambrosio
- Filippo Santambrogio
- Nicola Gigli
- Xicheng Zhang
- S. Wenger
- Dario Trevisan
- Francesco Serra Cassano
- Gianluca Crippa
In Astronomy and Astrophysics
- Luigi Ambrosio
- Nicola Gigli
- Andrea Mondino
- C. Ketterer
- Giuseppe Savar'e
- Wilfrid Gangbo
- Benoît Bonnet
- Karl‐Theodor Sturm
In Geometry and Topology
- Luigi Ambrosio
- S. Wenger
- Francesco Serra Cassano
- Nicola Gigli
- X. Cabré
- Nassif Ghoussoub
- Enrico Valdinoci
- Raul Paolo Serapioni
Citations in the corpus
- Characterization of Low Dimensional RCD*(K, N) Spaces (2015, unknown): “mply that Tan(X,d,m,x)consists of RCD∗(0,N)spaces for any point x ∈ suppm. One key tool that is reminiscent of smooth Riemannian setting is the splitting theorem: Theorem 2.8 (Splittingtheorem, Gigli [13,14]). Let (X,d,m)be an RCD∗(0,N)space with1 ≤ N <∞. Supposethat supp(m)containsaline. Then, (”
- CALCULUS, HEAT FLOW AND CURVATURE-DIMENSION BOUNDS IN METRIC MEASURE SPACES (2019, methodology): “Remarkably, Gromov’s reconstruction theorem Gromov [2007] (extended in Gigli, Mondino, and Savaré [2015] to spaces with infinite mass), characterizes the equivalence classes by the family of functionals”