Non-collapsing of Ricci shrinkers with bounded curvature
Publication
, Journal Article
Dong, C; Li, Y
Published in: Mathematische Annalen
January 1, 2026
We establish a uniform entropy bound for simply connected Ricci shrinkers with a finite second homotopy group and a uniform curvature bound. Additionally, we extend the non-collapsing result to a broader class of smooth metric measure spaces satisfying Bakry–Émery conditions.
Duke Scholars
Published In
Mathematische Annalen
DOI
EISSN
1432-1807
ISSN
0025-5831
Publication Date
January 1, 2026
Volume
394
Issue
1
Related Subject Headings
- General Mathematics
- 4904 Pure mathematics
- 4901 Applied mathematics
- 0102 Applied Mathematics
- 0101 Pure Mathematics
Citation
APA
Chicago
ICMJE
MLA
NLM
Dong, C., & Li, Y. (2026). Non-collapsing of Ricci shrinkers with bounded curvature. Mathematische Annalen, 394(1). https://doi.org/10.1007/s00208-026-03339-2
Dong, C., and Y. Li. “Non-collapsing of Ricci shrinkers with bounded curvature.” Mathematische Annalen 394, no. 1 (January 1, 2026). https://doi.org/10.1007/s00208-026-03339-2.
Dong C, Li Y. Non-collapsing of Ricci shrinkers with bounded curvature. Mathematische Annalen. 2026 Jan 1;394(1).
Dong, C., and Y. Li. “Non-collapsing of Ricci shrinkers with bounded curvature.” Mathematische Annalen, vol. 394, no. 1, Jan. 2026. Scopus, doi:10.1007/s00208-026-03339-2.
Dong C, Li Y. Non-collapsing of Ricci shrinkers with bounded curvature. Mathematische Annalen. 2026 Jan 1;394(1).
Published In
Mathematische Annalen
DOI
EISSN
1432-1807
ISSN
0025-5831
Publication Date
January 1, 2026
Volume
394
Issue
1
Related Subject Headings
- General Mathematics
- 4904 Pure mathematics
- 4901 Applied mathematics
- 0102 Applied Mathematics
- 0101 Pure Mathematics