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 Sep24 awarded Autobiographer Sep10 comment Cross product as result of projections I made an attempt to answer this here: math.stackexchange.com/questions/596158/cross-products Sep9 answered Cross products? May27 awarded Yearling Apr26 answered Cohomology after Dehn surgery Feb6 comment Number of fixed order elements in the mapping class group of a closed surface I think you should revise your question to ask for conjugacy classes of finite-order elements, of which there are finitely many, and they are enumerable. Otherwise, I would vote to close the question or shift it over to math.stackexchange Dec21 comment $x^x = y$, given $y$ solve for $x$ analytically I can solve this for $y=e^{-\pi/2}$ :) Aug5 answered Degree of morphism of quotient of upper half-plane Aug4 answered Purpose of cusps Aug1 awarded Student Jul31 asked Minimal number of moves to construct the challenges (circle packings and regular polygons) in Ancient Greek Geometry? Jul15 comment Different Riemannian manifolds with the same Riemannian volume form For any given $g_1$, in each conformal class of $g_2$, there is a unique metric with the same volume form as $g_1$. So I suppose you could require $g_1$ and $g_2$ to lie in the same conformal class. In particular, a necessary condition for them to be equivalent is that they have the same conformal curvature invariants. In 2 dimensions, there are no conformal invariants. But in 3 dimensions, there is the Schouten tensor, and in 4 dimensions, the Weyl curvature. However, this will not be enough to concluded equivalence, for example if the Weyl tensor vanishes, since this is diffeo. invariant. Jun30 awarded Yearling Dec26 answered Dehn presentation proof reference request Dec6 answered What is the most elegant proof of the Pythagorean theorem? Oct31 answered Structure of $x^2 + xy + y^2 = z^2$ integer quadratic form Oct30 answered Triangle inequality for hyperbolic distance Oct30 awarded Supporter Sep30 answered fixed point of a parabolic commutator Sep30 answered Character Varieties- reference request