Abstract
We determine the connectivity of the set of germs of generic cuspidal edges (resp. cuspidal edges with positive or negative extrinsic Gaussian curvatures) in a 3-dimensional space form.
Funding Statement
The first author was partially supported by JSPS KAKENHI Grant Number (C) No. 22K03312 from Japan Society for the Promotion of Science. The second and the third authors were partially supported by (B) No. 21H00981 and (B) No. 22H01121 from Japan Society for the Promotion of Science.
Acknowledgment
The authors thank the referee for valuable comments.
Citation
Kentaro Saji. Masaaki Umehara. Kotaro Yamada. "Deformations of cuspidal edges in a 3-dimensional space form." Kodai Math. J. 47 (1) 67 - 89, March 2024. https://doi.org/10.2996/kmj47105
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