normal bundle meaning in French

fibré normal

In that case it is a quadratic form on the tangent space with values in the normal bundle and it can be defined by I I ( v , w ) = ( ∇ v w ) ⊥ , {\displaystyle \mathrm {I\!I} (v,w)=(\nabla _{v}w)^{\bot },} where ( ∇ v w ) ⊥ {\displaystyle (\nabla _{v}w)^{\bot }} denotes the orthogonal projection of covariant derivative ∇ v w {\displaystyle \nabla _{v}w} onto the normal bundle.
Dans ce cas, c'est une forme quadratique sur l'espace tangent, à valeurs dans le fibré normal : I I ( v , w ) = ( ∇ v w ) ⊥ ,
In that case it is a quadratic form on the tangent space with values in the normal bundle and it can be defined by I I ( v , w ) = ( ∇ v w ) ⊥ , {\displaystyle \mathrm {I\!I} (v,w)=(\nabla _{v}w)^{\bot },} where ( ∇ v w ) ⊥ {\displaystyle (\nabla _{v}w)^{\bot }} denotes the orthogonal projection of covariant derivative ∇ v w {\displaystyle \nabla _{v}w} onto the normal bundle.
Dans ce cas, c'est une forme quadratique sur l'espace tangent, à valeurs dans le fibré normal : I I ( v , w ) = ( ∇ v w ) ⊥ ,