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arXiv · 2404.17172

Geometry on deformations of S1 singularities

Runa Shimada
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Abstract

To study a one parameter deformation of an $S_1$ singularity taking into consideration its differential geometric properties, we give a form representing the deformation using only diffeomorphisms on the source and isometries of the target. Using this form, we study differential geometric properties of $S_1$ singularities and the Whitney umbrellas appearing in the deformation.

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Runa Shimada. 2024-04-26. Geometry on deformations of S1 singularities. https://arxiv.org/abs/2404.17172

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