A note on closed convex hypersurfaces with singularities
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- by Hao Fang, Mijia Lai and Weifeng Wo PDF
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Abstract:
We study closed hypersurfaces in an Euclidean space with point singularities. When certain curvature conditions are prescribed on the smooth part of the hypersurface, we study the geometry of image of the normal map.References
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Additional Information
- Hao Fang
- Affiliation: Department of Mathematics, 14 MacLean Hall, University of Iowa, Iowa City, Iowa 52242
- MR Author ID: 671151
- Email: hao-fang@uiowa.edu
- Mijia Lai
- Affiliation: School of Mathematical Sciences, Shanghai Jiao Tong University, Shanghai, People’s Republic of China, 200240
- MR Author ID: 936451
- Email: laimijia@sjtu.edu.cn
- Weifeng Wo
- Affiliation: Department of Mathematics, Ningbo University, Ningbo, People’s Republic of China, 315211
- MR Author ID: 806015
- Email: woweifeng@nbu.edu.cn
- Received by editor(s): April 10, 2017
- Received by editor(s) in revised form: June 8, 2017, and July 9, 2017
- Published electronically: March 1, 2019
- Additional Notes: The first author was partially supported by a Simons Foundation research collaboration grant.
The second author was partially supported by Shanghai Sailing program No. 15YF1406200 and NSFC No. 11501360.
The third author was supported by the NSFC No. 11201249 and the Zhejiang Provincial Natural Science Foundation of China No. LY16A010002. - Communicated by: Guofang Wei
- © Copyright 2019 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 147 (2019), 2661-2671
- MSC (2010): Primary 53C40
- DOI: https://doi.org/10.1090/proc/13886
- MathSciNet review: 3951441