UT3Tangent.is_gauged
====================

.. py:method:: t3toolbox.uniform_manifold.UT3Tangent.is_gauged(atol = 1e-09)

   .. code-block:: python

      def is_gauged(self, atol: float = 1e-9) -> NDArray:  # bool array, shape = variation stack K+C (scalar unstacked)


   True (per stack element) if the variations are gauged w.r.t. the frame.

   Gauge conditions (needed for the manifold Hilbert-Schmidt inner product / norm to equal the
   coordinate ones; not enforced at construction): ``U_i^T dU_i = 0`` (all i) and
   ``(P_i^L)^T dG_i^L = 0`` (i = 0..d-2) -- conditions (48)-(49), Appendix A.3 of Alger et al. (2026).
   **Per-stack-element bool array** (reduce with ``.all()`` for a single verdict).