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A note on the first-order flexes of smooth surfaces which are tangent to the set of all nonrigid surfaces

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Abstract

We prove that first-order flexes of smooth surfaces in Euclidean 3-space, which are tangent to the set of all nonrigid surfaces, can be extended to second-order flexes.

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Acknowledgements

The study was carried out within the framework of the state contract of the Sobolev Institute of Mathematics (project no. 0314-2019-0006).

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  1. Sobolev Institute of Mathematics, Koptyug ave., 4, Novosibirsk, Russia, 630090

    Victor Alexandrov

  2. Department of Physics, Novosibirsk State University, Pirogov str., 2, Novosibirsk, Russia, 630090

    Victor Alexandrov

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  1. Victor Alexandrov
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Correspondence to Victor Alexandrov.

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Alexandrov, V. A note on the first-order flexes of smooth surfaces which are tangent to the set of all nonrigid surfaces. J. Geom. 112, 41 (2021). https://doi.org/10.1007/s00022-021-00607-1

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  • DOI: https://doi.org/10.1007/s00022-021-00607-1

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