t3toolbox.manifold.tangent_zeros
================================

.. py:function:: t3toolbox.manifold.tangent_zeros(base: t3toolbox.basis_coordinates_format.T3Base, use_jax: bool = False) -> t3toolbox.basis_coordinates_format.T3Variation

   Construct the zero vector in a Tucker tensor train tangent space.

   :param base: Representations of base point on manifold where tangent space is attached
   :type base: T3Base
   :param xnp: Linear algebra backend. Default: np (numpy)

   :returns: Variation representing the zero vector in the tangent space
   :rtype: T3Variation

   .. seealso:: :py:obj:`t3tangent_randn`

   .. rubric:: Examples

   >>> import numpy as np
   >>> import t3toolbox.tucker_tensor_train as t3
   >>> import t3toolbox.manifold as t3m
   >>> import t3toolbox.orthogonalization as orth
   >>> p = t3.t3_corewise_randn(((14,15,16), (4,5,6), (1,3,2,1)))
   >>> base, _ = orth.orthogonal_representations(p)
   >>> z = t3m.tangent_zeros(base)
   >>> print(np.linalg.norm(t3m.tangent_to_dense(z, base)))
   0.0