“Pedantry and mastery are opposite attitudes toward rules. To apply a rule to the letter, rigidly, unquestioningly, in cases where it fits and in cases where it does not fit, is pedantry … To apply a rule with natural ease, with judgment, noticing the cases where it fits, and without ever letting the words of the rule obscure the purpose of the action or the opportunities of the situation, is mastery.” 8 more words
Tags » Rigidity
Here I would like to point a version local length spectrum rigidity for hyperbolic surfaces.
Let be a surface of genus . If is negatively curved Riemannian metric on then each non-trivial homotopy class of loops on contains a unique unit speed geodesic representative. 767 more words