On Local Congruence of Immersions in Homogeneous or Nonhomogeneous Spaces
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
On Local Congruence of Immersions in Homogeneous or Nonhomogeneous Spaces
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| Creator |
Cheh, J.
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| Description |
We show how to find a complete set of necessary and sufficient conditions that solve the fixed-parameter local congruence problem of immersions in G-spaces, whether homogeneous or not, provided that a certain kth order jet bundle over the G-space admits a G-invariant local coframe field of constant structure. As a corollary, we note that the differential order of a minimal complete set of congruence invariants is bounded by k+1. We demonstrate the method by rediscovering the speed and curvature invariants of Euclidean planar curves, the Schwarzian derivative of holomorphic immersions in the complex projective line, and equivalents of the first and second fundamental forms of surfaces in R³ subject to rotations.
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| Date |
2019-02-19T18:27:40Z
2019-02-19T18:27:40Z 2013 |
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| Type |
Article
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| Identifier |
On Local Congruence of Immersions in Homogeneous or Nonhomogeneous Spaces / J. Cheh // Symmetry, Integrability and Geometry: Methods and Applications. — 2013. — Т. 9. — Бібліогр.: 16 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 53A55; 53B25 DOI: http://dx.doi.org/10.3842/SIGMA.2013.036 http://dspace.nbuv.gov.ua/handle/123456789/149192 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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