docstr: Convert the trailing dimensions to match the shape of a factor manifold.
docstr_tok: ["Convert","the","trailing","dimensions","to","match","the","shape","of","a","factor","manifold","."]
code: def _reshape_trailing(argument, factor):
      """Convert the trailing dimensions to match the shape of a factor manifold."""
      space = (
          factor._space
          if isinstance(factor, RiemannianMetric)
          else factor
      )
  
      if space.default_coords_type == "vector":
          return argument
      leading_shape = argument.shape[:-1]
      trailing_shape = space.shape
      new_shape = leading_shape + trailing_shape
      return gs.reshape(argument, new_shape)
  
imports: import math
  import geomstats.backend
  import geomstats.errors
  from geomstats.geometry.complex_manifold import ComplexManifold
  from geomstats.geometry.complex_riemannian_metric import ComplexRiemannianMetric
  from geomstats.geometry.manifold import Manifold
  from geomstats.geometry.riemannian_metric import RiemannianMetric
  from geomstats.vectorization import get_batch_shape
label_desc: Use image node_id 4 for calling the _IterateOverFactorsMixins obj's underlying member method code with example usage: obj._reshape_trailing(argument, factor) and returns: gs, argument