LAUSR

A beautiful solution to the problem of isometric immersions in $$\mathbb {R}^n$$Rn using spinors was found by Bayard et al. (Pac J Math, arXiv:1505.02935v4 [math-ph], 2016). However to use spinors one must assume that the manifold carries a $$\text{ Spin }$$Spin-structure and, especially for complex manifolds where is more natural to consider $$\text{ Spin }^{\mathbb {C}}$$SpinC-structures, this hypothesis is somewhat restrictive. In the present work we show how the above solution can be adapted to $$\text{ Spin }^{\mathbb {C}}$$SpinC-structures.