SharedGeometry.project
======================

.. py:method:: t3toolbox.shared_geometry.SharedGeometry.project(v, shared_data=None)

   .. code-block:: python

      def project(self, v, shared_data=None):


   The tied projection ``Pi_sh``: orthogonal projection onto the TIED tangent subspace
   in this geometry's own metric (manifold: gauge projection + the Gram/SVD tilted
   post-pass; corewise: the per-group mean). Inherits the base's safe-mode preconditions.
   Ragged bases take/return ``T3Tangent``; uniform bases take/return ``UT3Tangent``.