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- Jul 27th 2012, 04:23 PM #1

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- Jun 2010
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## isometries of tor

Let consider a 2-dim tor as square on plane with equal opposite sides. Consider also metrics on this square as distance between 2 points A, B as: d(A,B)=min{L(f(A), g(B))| f,g-any replicas of square}, where L - usual metrics on plane. What will be space of isometries of such tor? Yeah, what about 3-dim cube with equal opposite sides and same metrics? ============= Such task have origin in simulations with so called boundrary conditions.