CorewiseGeometry.inner
======================

.. py:method:: t3toolbox.manifold.CorewiseGeometry.inner(t1, t2)

   .. code-block:: python

      def inner(
              self,
              t1: T3Tangent,
              t2: T3Tangent,
      ) -> NDArray:  # the Euclidean (coordinate) inner product, shape = stack_shape (K + C)


   The **Euclidean** (coordinate) inner product of two tangents on the core parameter space.

   The corewise dot of the variations -- *no* orthogonal/gauge requirement (the ``(U,G,G,G)`` frame
   is non-orthonormal by design). Safe mode checks only that the two tangents share a frame. This is
   exactly :py:meth:`T3Tangent.corewise_inner`.