Exista izometrie?

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Beniamin Bogosel
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Exista izometrie?

Post by Beniamin Bogosel »

Fie \( (E,d_{euc}) \) planul inzestrat cu distanta euclidiana si \( (E,d_1) \) planul inzestrat cu distanta \( d_1((a,b),(c,d))=|a-c|+|b-d| \). Exista o aplicatie \( \phi : (E,d_1) \to (E,d_{euc}) \) care este bijectiva si pentru care avem \( d_1(A,B)=d_{euc}(\phi(A),\phi(B)) \)?
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