On Local Congruence of Immersions in Homogeneous or Nonhomogeneous Spaces

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2013
• Main Author: Cheh, J.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2013
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/149192
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: 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.

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...