differential_geometry.dependence.TensorDependenceMixin.laplacian#

TensorDependenceMixin.laplacian(*, as_field: bool = False)[source]#

Compute the Laplacian of the tensor field (component-wise).

This calls element_wise_laplacian() from OperatorsMixin, applying the Laplace–Beltrami operator to each component independently.

Parameters:

as_field (bool, optional) – Whether to return the raw symbolic result or wrap it as a dependence object.

Returns:

The Laplacian expression or new dependence object.

Return type:

_GenericFieldType or _DepT