Skip to content
DraconiticResearch
Search Sources API
194,161 studies31 sourcesUpdated 51 min ago
PreprintarXiv licencearXiv

Macroscopic scalar curvature bounds on surfaces

Abstract

We prove the generalized Geroch conjecture, and the corresponding hyperbolic conjecture, in dimension two.

Related

  1. Macroscopic scalar curvature bounds on graphs
    Steve Karam, Stéphane Sabourau
    arXivPreprintarXiv licenceFull textGeometry & topologyarXiv
  2. Lower curvature bounds on metric surfaces via the Bishop--Gromov inequality
    Alexander Lytchak, Stephan Stadler
    arXivPreprintarXiv licenceFull textGeometry & topologyarXiv
  3. Scalar curvature bounds and rigidity of Ricci shrinkers
    Jianyu Ou, Guoqiang Wu
    arXivPreprintCC BY 4.0Full textGeometry & topologyarXiv
  4. Scalar curvature bounds and tangent cones for Kähler--Ricci shrinkers
    Yu Li, Junsheng Zhang
    arXivPreprintarXiv licenceFull textGeometry & topologyarXiv
  5. Positive scalar curvature Kähler cones on compact complex surfaces
    Zehao Sha
    arXivPreprintarXiv licenceFull textAlgebra & number theoryGeometry & topologyarXiv
BibTeX
@misc{chodosh2026macroscopic,
  title = {{Macroscopic scalar curvature bounds on surfaces}},
  author = {Otis Chodosh and Noa Vikman},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2609.00186},
  eprint = {2609.00186},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.00186},
}
RIS
TY  - UNPB
TI  - Macroscopic scalar curvature bounds on surfaces
AU  - Otis Chodosh
AU  - Noa Vikman
PY  - 2026
DA  - 2026/10/20
PB  - arXiv
DO  - 10.48550/arxiv.2609.00186
UR  - https://arxiv.org/abs/2609.00186
AB  - We prove the generalized Geroch conjecture, and the corresponding hyperbolic conjecture, in dimension two.
ER  -