UniformManifoldGeometry.project_oblique
=======================================

.. py:method:: t3toolbox.uniform_manifold.UniformManifoldGeometry.project_oblique(v)

   .. code-block:: python

      def project_oblique(
              self,
              v:  UT3Tangent,
      ) -> UT3Tangent:  # gauged tangent at v's frame (the SAME vector)


   Gauge ``v``'s variations while preserving the represented tangent vector (oblique projection).

   Returns a tangent at the same frame representing the SAME vector as ``v`` but gauged, so that on an
   orthogonal minimal-rank frame :py:meth:`inner` / :py:meth:`norm` give the true Hilbert-Schmidt values.
   **Safe mode** requires ``v``'s frame orthogonal (raises otherwise); skipped under ``safety.unsafe()``
   / a jax trace.