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Anonymous

This is a question about differential geometry dealing with the first fundamental form ( I ) of the Poincare upper half - plane. There are a few matrices so the questions are found below in the attachment. There are parts a - e, but help with any part would be much appreciated, even if it is just one part! Thank you!

a. compute Chrisoffel symbols using the provided formula

b. compute Gaussian curvature

c. compute Gaussian curvature for isothermal metrics

d. find angle, and tangent vector

e. find the area bounded by geodesics

The full details are in the attachment below!

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