Journal article
Volume bounds of conic 2-spheres
International journal of mathematics, Vol.29(2), p.1850010
02/01/2018
DOI: 10.1142/S0129167X18500106
Abstract
We obtain sharp volume bound for a conic 2-sphere in terms of its Gaussian curvature bound. We also give the geometric models realizing the extremal volume. In particular, when the curvature is bounded in absolute value by 1, we compute the minimal volume of a conic sphere in the sense of Gromov. In order to apply the level set analysis and isoperimetric inequality as in our previous works, we develop new analytical tools to treat regions with vanishing curvature.
Details
- Title: Subtitle
- Volume bounds of conic 2-spheres
- Creators
- Hao Fang - University of IowaMijia Lai - Shanghai Jiao Tong University
- Resource Type
- Journal article
- Publication Details
- International journal of mathematics, Vol.29(2), p.1850010
- DOI
- 10.1142/S0129167X18500106
- ISSN
- 0129-167X
- eISSN
- 1793-6519
- Publisher
- WORLD SCIENTIFIC PUBL CO PTE LTD
- Number of pages
- 18
- Grant note
- 15YF1406200 / Shanghai Sailing Program 426312 / Simons Foundation 11501360 / NSFC
- Language
- English
- Date published
- 02/01/2018
- Academic Unit
- Mathematics
- Record Identifier
- 9984241153802771
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