Martínez, RodrigoGuzmán, Cristino2017-09-252017-09-252004http://revistas.pucp.edu.pe/index.php/promathematica/article/view/10217/10662Dos estructuras: 𝜇 = ( 𝑀 , ∇ , 𝑔 ) μ=(M,∇,g) y 𝜇 ˉ = ( 𝑀 , ∇ ˉ , 𝑔 ) μ ˉ ​ =(M, ∇ ˉ ,g) tales que: { ( ∇ 𝑈 𝑔 ) ( 𝑉 , 𝑊 ) = 𝐴 ( 𝑈 , 𝑉 , 𝑊 ) , 𝐴 ( 𝑈 , 𝑉 , 𝑊 ) ∈ 𝐶 ∞ ( 𝑀 ) 𝑆 ( 𝑈 , 𝑉 ) = ∇ 𝑈 𝑉 − ∇ 𝑉 𝑈 − [ 𝑈 , 𝑉 ] { (∇ U ​ g)(V,W)=A(U,V,W),A(U,V,W)∈C ∞ (M) S(U,V)=∇ U ​ V−∇ V ​ U−[U,V] ​ (1) { ( ∇ ˉ 𝑈 𝑔 ) ( 𝑉 , 𝑊 ) = 0 𝑆 ˉ ( 𝑈 , 𝑉 ) = ∇ ˉ 𝑈 𝑉 − ∇ ˉ 𝑉 𝑈 − [ 𝑈 , 𝑉 ] , 𝑈 , 𝑉 , 𝑊 ∈ 𝜒 ( 𝑀 ) { ( ∇ ˉ U ​ g)(V,W)=0 S ˉ (U,V)= ∇ ˉ U ​ V− ∇ ˉ V ​ U−[U,V],U,V,W∈χ(M) ​ son H-equivalentes, si existe una aplicación 𝐻 : 𝜒 ( 𝑀 ) × 𝜒 ( 𝑀 ) → 𝜒 ( 𝑀 ) H:χ(M)×χ(M)→χ(M), tal que: ∇ ˉ 𝑈 𝑉 = ∇ 𝑈 𝑉 + 𝐻 ( 𝑈 , 𝑉 ) . ∇ ˉ U ​ V=∇ U ​ V+H(U,V). (2)application/pdfspainfo:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by/4.0InvariantesCálculo de TensoresCurvatura En Superficiesinfo:eu-repo/semantics/articlehttps://purl.org/pe-repo/ocde/ford#1.01.00