ManifoldGeometry.transport
==========================

.. py:method:: t3toolbox.manifold.ManifoldGeometry.transport(v, new_frame)

   .. code-block:: python

      def transport(
              self,
              v:          T3Tangent,
              new_frame:  bvf.T3Frame,
      ) -> T3Tangent:  # v transported to the tangent space at new_frame


   Projective vector transport of ``v`` to the tangent space at ``new_frame``.

   Re-projects ``v`` (as an ambient tensor via :py:meth:`T3Tangent.to_t3`) orthogonally onto the
   tangent space at ``new_frame``. The cheap, standard choice for fixed-rank Riemannian
   optimization -- not parallel transport.

   Inherits :py:meth:`project_ambient`'s **safe-mode ORTH precondition** on ``new_frame`` (raises if
   non-orthogonal; skipped under ``safety.unsafe()`` / a jax trace).