Remove regularize in Manifold

[ninamiolane]

Where should the content be modified?

geomstats/geometry/base.py Manifold class

What should be modified?

The method regularize currently is the identity function in the Manifold class.

It should be removed. We leave it up to the user who is creating their own manifold to write a method that does what regularize does. We note that the user might choose a different name for this method (not necessarily regularize) but this is not a problem since no other classes in geomstats would inherit from it.

Examples of regularize:

• in circle: regularize(40.3 pi) --> 0.3pi
• in mobius band
• in klein bottle

The function regularize comes from a notion of equivalence relation between "redundant" coordinates.

The immersion in the ImmersedSet should define a domain, that specify to which domain the points should be regularized (does not say how they are regularized).

Additional information

No response