Abstract
We show two specific uniqueness properties of a certain minimal isometric immersion from S3 into S6. This particular immersion has been extensively studied. We give the first uniqueness results for any such map within the full class of all minimal isometric immersion from S3(1) into S6(\(\frac{1}{4}\)). We also derive an explicit necessary and sufficient condition for linear rigidity of a general minimal isometric immersion from a sphere into a sphere.
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Spheres, C.M. Rigidity of Minimal Isometric Immersions of Spheres into Spheres. Geometriae Dedicata 73, 275–293 (1998). https://doi.org/10.1023/A:1005024324512
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DOI: https://doi.org/10.1023/A:1005024324512