3. Find an appropriate holonomic basis for a 2-dimenson cylindrical surface with constant redius r c...

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3. Find an appropriate holonomic basis for a 2-dimenson cylindrical surface with constant redius r c² = {(x, y, z) ER³. x² + y² = 1²} show that this surface is flat, ie. the Riemann curvature tensor is zero in every coordinate system. 3. Find an appropriate holonomic basis for a 2-dimenson cylindrical surface with constant redius r c² = {(x, y, z) ER³. x² + y² = 1²} show that this surface is flat, ie. the Riemann curvature tensor is zero in every coordinate system.

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The Riemann tensor transforms under a coordinate transformation as RS1SSSRRS1SSSR whic... View the full answer