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A note on the first-order flexes of smooth surfaces which are tangent to the set of all nonrigid surfaces. / Alexandrov, Victor.

In: Journal of Geometry, Vol. 112, No. 3, 41, 12.2021.

Research output: Contribution to journal › Article › peer-review

Harvard

Alexandrov, V 2021, 'A note on the first-order flexes of smooth surfaces which are tangent to the set of all nonrigid surfaces', Journal of Geometry, vol. 112, no. 3, 41. https://doi.org/10.1007/s00022-021-00607-1

APA

Alexandrov, V. (2021). A note on the first-order flexes of smooth surfaces which are tangent to the set of all nonrigid surfaces. Journal of Geometry, 112(3), [41]. https://doi.org/10.1007/s00022-021-00607-1

Vancouver

Alexandrov V. A note on the first-order flexes of smooth surfaces which are tangent to the set of all nonrigid surfaces. Journal of Geometry. 2021 Dec;112(3):41. doi: 10.1007/s00022-021-00607-1

Author

Alexandrov, Victor. / A note on the first-order flexes of smooth surfaces which are tangent to the set of all nonrigid surfaces. In: Journal of Geometry. 2021 ; Vol. 112, No. 3.

BibTeX

@article{a894e6929ecf469bbf1038d0ae882037,
title = "A note on the first-order flexes of smooth surfaces which are tangent to the set of all nonrigid surfaces",
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.",
keywords = "first-order flex, Infinitesimal flex of a surface, second-order flex, set of nonrigid surfaces",
author = "Victor Alexandrov",
note = "Funding Information: The study was carried out within the framework of the state contract of the Sobolev Institute of Mathematics (project no. 0314-2019-0006). Publisher Copyright: {\textcopyright} 2021, The Author(s), under exclusive licence to Springer Nature Switzerland AG.",
year = "2021",
month = dec,
doi = "10.1007/s00022-021-00607-1",
language = "English",
volume = "112",
journal = "Journal of Geometry",
issn = "0047-2468",
publisher = "Birkhauser Verlag Basel",
number = "3",

}

RIS

TY - JOUR

T1 - A note on the first-order flexes of smooth surfaces which are tangent to the set of all nonrigid surfaces

AU - Alexandrov, Victor

N1 - Funding Information: The study was carried out within the framework of the state contract of the Sobolev Institute of Mathematics (project no. 0314-2019-0006). Publisher Copyright: © 2021, The Author(s), under exclusive licence to Springer Nature Switzerland AG.

PY - 2021/12

Y1 - 2021/12

N2 - 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.

AB - 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.

KW - first-order flex

KW - Infinitesimal flex of a surface

KW - second-order flex

KW - set of nonrigid surfaces

UR - http://www.scopus.com/inward/record.url?scp=85117573258&partnerID=8YFLogxK

U2 - 10.1007/s00022-021-00607-1

DO - 10.1007/s00022-021-00607-1

M3 - Article

AN - SCOPUS:85117573258

VL - 112

JO - Journal of Geometry

JF - Journal of Geometry

SN - 0047-2468

IS - 3

M1 - 41

ER -

ID: 34582768