schwarzschild
Jul20-10, 12:30 PM
Are the following three equivalent?
P_{\alpha}A^{\beta}\tilde{\omega}^{\beta}(\vec{e_{ \beta}} ) = \sum_{\alpha = 0}^{3}{P_{\alpha}\tilde{\omega}^{\alpha}(\sum_{\be ta = 0}^{3}{A^{\beta}\vec{e}_{\beta}) = \sum_{\alpha = 0}^{3}{P_{\alpha}A^{\alpha}
P_{\alpha}A^{\beta}\tilde{\omega}^{\beta}(\vec{e_{ \beta}} ) = \sum_{\alpha = 0}^{3}{P_{\alpha}\tilde{\omega}^{\alpha}(\sum_{\be ta = 0}^{3}{A^{\beta}\vec{e}_{\beta}) = \sum_{\alpha = 0}^{3}{P_{\alpha}A^{\alpha}