2 problems

Let $(\mathfrak{g}^{\mathbb{C}}, g^{\mathbb{C}})$ be a holomorphic inner product space, with $\mathfrak{g}^{\mathbb{C}}$ a complex Lie algebra. Let…

Let $(M,g)$ and $(\tilde{M},\tilde{g})$ be Wick-rotated at $p\in M\cap\tilde{M}$, and let $v\in\mathcal{V}$ and $\tilde{v}\in\tilde{\mathcal{V}}$ be Wick-rotated tensors at $p$. Th…