An identity for 4-spacetimes embedded intoE 5 |
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| Authors: | López-Bonilla José L Núñez-Yépez H N |
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| Institution: | (1) Departamento de Ciencias Básicas, Universidad Autónoma Metropolitana-Azcapotzalco, Apartado Postal 21-726, 04000 D.F. Coyoacán, México;(2) Departamento de Física, Universidad Autónoma Metropolitana-Iztapalapa, Apartado Postal 21-726, 04000 D. F. Coyoacán, México |
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| Abstract: | We show that if a 4-spacetimeV
4 can be embedded intoE
5 then, ifb
ijis the second fundamental form tensor associated withV
4, the quantity (traceb)·b
ij
/−1
depends only on intrinsic geometric properties of the spacetime. Such fact is used to obtain a necessary condition for the
embedding of aV
4 intoE
5. |
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| Keywords: | Embedding of Riemannian 4-spaces local and isometric embedding |
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