Geometry of the submanifolds of \(SEX_ n\). II: The generalized fundamental equations for the hypersubmanifold of \(SEX_ n\)

DOI10.1007/BF00670000zbMath0698.53009OpenAlexW2058719631MaRDI QIDQ912399

Kyung Tae Chung, Jong Woo Lee

Publication date: 1989

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00670000

zbMATH Keywords

Gauss-Codazzi equationsWeingarten equationsGauss formulashypersubmanifolds

Mathematics Subject Classification ID

Kaluza-Klein and other higher-dimensional theories (83E15) Applications of local differential geometry to the sciences (53B50) Local submanifolds (53B25) Other connections (53B15)

Related Items (2)

Generalized fundamental equations on the submanifolds of a manifold \(ESX_ n\) ⋮ Geometry of the submanifolds of \(ESX_ n\). III: Parallelism in \(ESX_ n\) and its submanifolds

Cites Work

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• Geometry of the submanifolds of \(SEX_ n\). I: The C-nonholonomic frame of reference
• Some recurrence relations and Einstein's connection in 2-dimensional unified field theory
• A study on the relations of two \(n\)-dimensional unified field theories
• Curvature tensors and unified field equations on \(SEX_ n\)
• Three- and five-dimensional considerations of the geometry of Einstein's *g-unified field theory
• \(n\)-dimensional representations of the unified field tensor \(^*g^{ik}\)
• Conformal change in einstein’s $${}^ * g^{\lambda \nu - } $$ -unified field theory. — I-unified field theory. — I
• Einstein ’s connection in terms of* g λμ

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